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Finding the Fourth Proportional to 680,053.30, 1,019,205.15 and 413,530.90

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Solution

The fourth proportional to 680,053.30, 1,019,205.15 and 413,530.90 is: 619,764.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,053.30 : 1,019,205.15 = 413,530.90 : x
  2. Step 2: Convert to fraction form
    680,053.30/1,019,205.15 = 413,530.90/x
  3. Step 3: Cross multiply
    680,053.30x = 1,019,205.15 × 413,530.90
  4. Step 4: Simplify right side
    680,053.30x = 421,472,822,964.14
  5. Step 5: Solve for x
    x = 421,472,822,964.14/680,053.30
  6. Step 6: Final answer
    x = 619,764.40

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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.