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Finding the Fourth Proportional to 538,294.68, 807,442.16 and 369,302.76

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Solution

The fourth proportional to 538,294.68, 807,442.16 and 369,302.76 is: 553,954.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,294.68 : 807,442.16 = 369,302.76 : x
  2. Step 2: Convert to fraction form
    538,294.68/807,442.16 = 369,302.76/x
  3. Step 3: Cross multiply
    538,294.68x = 807,442.16 × 369,302.76
  4. Step 4: Simplify right side
    538,294.68x = 298,190,616,381.85
  5. Step 5: Solve for x
    x = 298,190,616,381.85/538,294.68
  6. Step 6: Final answer
    x = 553,954.23

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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.