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Finding the Fourth Proportional to 538,300.68, 807,451.14 and 369,308.76

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Solution

The fourth proportional to 538,300.68, 807,451.14 and 369,308.76 is: 553,963.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,300.68 : 807,451.14 = 369,308.76 : x
  2. Step 2: Convert to fraction form
    538,300.68/807,451.14 = 369,308.76/x
  3. Step 3: Cross multiply
    538,300.68x = 807,451.14 × 369,308.76
  4. Step 4: Simplify right side
    538,300.68x = 298,198,779,273.99
  5. Step 5: Solve for x
    x = 298,198,779,273.99/538,300.68
  6. Step 6: Final answer
    x = 553,963.22

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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.