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Finding the Fourth Proportional to 827,160,920.80, 1,239,465,922.80 and 717,471,498.40

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Solution

The fourth proportional to 827,160,920.80, 1,239,465,922.80 and 717,471,498.40 is: 1,075,100,927.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,160,920.80 : 1,239,465,922.80 = 717,471,498.40 : x
  2. Step 2: Convert to fraction form
    827,160,920.80/1,239,465,922.80 = 717,471,498.40/x
  3. Step 3: Cross multiply
    827,160,920.80x = 1,239,465,922.80 × 717,471,498.40
  4. Step 4: Simplify right side
    827,160,920.80x = 889,281,472,847,054,720
  5. Step 5: Solve for x
    x = 889,281,472,847,054,720/827,160,920.80
  6. Step 6: Final answer
    x = 1,075,100,927.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.