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Finding the Fourth Proportional to 390,423.20, 585,634.80 and 94,935.20

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Solution

The fourth proportional to 390,423.20, 585,634.80 and 94,935.20 is: 142,402.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,423.20 : 585,634.80 = 94,935.20 : x
  2. Step 2: Convert to fraction form
    390,423.20/585,634.80 = 94,935.20/x
  3. Step 3: Cross multiply
    390,423.20x = 585,634.80 × 94,935.20
  4. Step 4: Simplify right side
    390,423.20x = 55,597,356,864.96
  5. Step 5: Solve for x
    x = 55,597,356,864.96/390,423.20
  6. Step 6: Final answer
    x = 142,402.80

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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.