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Finding the Fourth Proportional to 407,429.10, 611,143.65 and 390,151.80

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Solution

The fourth proportional to 407,429.10, 611,143.65 and 390,151.80 is: 585,227.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,429.10 : 611,143.65 = 390,151.80 : x
  2. Step 2: Convert to fraction form
    407,429.10/611,143.65 = 390,151.80/x
  3. Step 3: Cross multiply
    407,429.10x = 611,143.65 × 390,151.80
  4. Step 4: Simplify right side
    407,429.10x = 238,438,795,106.07
  5. Step 5: Solve for x
    x = 238,438,795,106.07/407,429.10
  6. Step 6: Final answer
    x = 585,227.70

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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.