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Finding the Fourth Proportional to 472,393,205.80, 708,589,808.70 and 165,716,319.40

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Solution

The fourth proportional to 472,393,205.80, 708,589,808.70 and 165,716,319.40 is: 248,574,479.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,393,205.80 : 708,589,808.70 = 165,716,319.40 : x
  2. Step 2: Convert to fraction form
    472,393,205.80/708,589,808.70 = 165,716,319.40/x
  3. Step 3: Cross multiply
    472,393,205.80x = 708,589,808.70 × 165,716,319.40
  4. Step 4: Simplify right side
    472,393,205.80x = 117,424,895,062,114,112
  5. Step 5: Solve for x
    x = 117,424,895,062,114,112/472,393,205.80
  6. Step 6: Final answer
    x = 248,574,479.10

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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.