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Finding the Fourth Proportional to 385,292.61, 531,810.66 and 224,178.78

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Solution

The fourth proportional to 385,292.61, 531,810.66 and 224,178.78 is: 309,428.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,292.61 : 531,810.66 = 224,178.78 : x
  2. Step 2: Convert to fraction form
    385,292.61/531,810.66 = 224,178.78/x
  3. Step 3: Cross multiply
    385,292.61x = 531,810.66 × 224,178.78
  4. Step 4: Simplify right side
    385,292.61x = 119,220,664,949.80
  5. Step 5: Solve for x
    x = 119,220,664,949.80/385,292.61
  6. Step 6: Final answer
    x = 309,428.89

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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.