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Finding the Fourth Proportional to 538,488.29, 807,828.48 and 178,680.75

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Solution

The fourth proportional to 538,488.29, 807,828.48 and 178,680.75 is: 268,053.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,488.29 : 807,828.48 = 178,680.75 : x
  2. Step 2: Convert to fraction form
    538,488.29/807,828.48 = 178,680.75/x
  3. Step 3: Cross multiply
    538,488.29x = 807,828.48 × 178,680.75
  4. Step 4: Simplify right side
    538,488.29x = 144,343,398,677.76
  5. Step 5: Solve for x
    x = 144,343,398,677.76/538,488.29
  6. Step 6: Final answer
    x = 268,053.00

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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.