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Finding the Fourth Proportional to 390,137.60, 538,423.04 and 220,402.88

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Solution

The fourth proportional to 390,137.60, 538,423.04 and 220,402.88 is: 304,174.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,137.60 : 538,423.04 = 220,402.88 : x
  2. Step 2: Convert to fraction form
    390,137.60/538,423.04 = 220,402.88/x
  3. Step 3: Cross multiply
    390,137.60x = 538,423.04 × 220,402.88
  4. Step 4: Simplify right side
    390,137.60x = 118,669,988,674.36
  5. Step 5: Solve for x
    x = 118,669,988,674.36/390,137.60
  6. Step 6: Final answer
    x = 304,174.70

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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.