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Finding the Fourth Proportional to 390,087.80, 584,147.55 and 311,355.80

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Solution

The fourth proportional to 390,087.80, 584,147.55 and 311,355.80 is: 466,248.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,087.80 : 584,147.55 = 311,355.80 : x
  2. Step 2: Convert to fraction form
    390,087.80/584,147.55 = 311,355.80/x
  3. Step 3: Cross multiply
    390,087.80x = 584,147.55 × 311,355.80
  4. Step 4: Simplify right side
    390,087.80x = 181,877,727,748.29
  5. Step 5: Solve for x
    x = 181,877,727,748.29/390,087.80
  6. Step 6: Final answer
    x = 466,248.18

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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.