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Finding the Fourth Proportional to 478,301.95, 660,103.32 and 357,233.14

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Solution

The fourth proportional to 478,301.95, 660,103.32 and 357,233.14 is: 493,016.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,301.95 : 660,103.32 = 357,233.14 : x
  2. Step 2: Convert to fraction form
    478,301.95/660,103.32 = 357,233.14/x
  3. Step 3: Cross multiply
    478,301.95x = 660,103.32 × 357,233.14
  4. Step 4: Simplify right side
    478,301.95x = 235,810,781,728.03
  5. Step 5: Solve for x
    x = 235,810,781,728.03/478,301.95
  6. Step 6: Final answer
    x = 493,016.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.