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Finding the Fourth Proportional to 407,710.60, 611,565.90 and 390,433.30

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Solution

The fourth proportional to 407,710.60, 611,565.90 and 390,433.30 is: 585,649.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,710.60 : 611,565.90 = 390,433.30 : x
  2. Step 2: Convert to fraction form
    407,710.60/611,565.90 = 390,433.30/x
  3. Step 3: Cross multiply
    407,710.60x = 611,565.90 × 390,433.30
  4. Step 4: Simplify right side
    407,710.60x = 238,775,692,504.47
  5. Step 5: Solve for x
    x = 238,775,692,504.47/407,710.60
  6. Step 6: Final answer
    x = 585,649.95

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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.