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Finding the Fourth Proportional to 402,118.65, 554,932.98 and 230,052.78

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Solution

The fourth proportional to 402,118.65, 554,932.98 and 230,052.78 is: 317,478.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,118.65 : 554,932.98 = 230,052.78 : x
  2. Step 2: Convert to fraction form
    402,118.65/554,932.98 = 230,052.78/x
  3. Step 3: Cross multiply
    402,118.65x = 554,932.98 × 230,052.78
  4. Step 4: Simplify right side
    402,118.65x = 127,663,874,762.68
  5. Step 5: Solve for x
    x = 127,663,874,762.68/402,118.65
  6. Step 6: Final answer
    x = 317,478.12

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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.