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Finding the Fourth Proportional to 407,429.10, 611,143.65 and 384,101.10

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Solution

The fourth proportional to 407,429.10, 611,143.65 and 384,101.10 is: 576,151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,429.10 : 611,143.65 = 384,101.10 : x
  2. Step 2: Convert to fraction form
    407,429.10/611,143.65 = 384,101.10/x
  3. Step 3: Cross multiply
    407,429.10x = 611,143.65 × 384,101.10
  4. Step 4: Simplify right side
    407,429.10x = 234,740,948,223.02
  5. Step 5: Solve for x
    x = 234,740,948,223.02/407,429.10
  6. Step 6: Final answer
    x = 576,151.65

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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.