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Finding the Fourth Proportional to 390,178.90, 538,490.58 and 220,423.96

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Solution

The fourth proportional to 390,178.90, 538,490.58 and 220,423.96 is: 304,209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,178.90 : 538,490.58 = 220,423.96 : x
  2. Step 2: Convert to fraction form
    390,178.90/538,490.58 = 220,423.96/x
  3. Step 3: Cross multiply
    390,178.90x = 538,490.58 × 220,423.96
  4. Step 4: Simplify right side
    390,178.90x = 118,696,226,066.30
  5. Step 5: Solve for x
    x = 118,696,226,066.30/390,178.90
  6. Step 6: Final answer
    x = 304,209.75

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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.