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Finding the Fourth Proportional to 538,631.40, 807,752.70 and 272,303.40

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Solution

The fourth proportional to 538,631.40, 807,752.70 and 272,303.40 is: 408,356.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,631.40 : 807,752.70 = 272,303.40 : x
  2. Step 2: Convert to fraction form
    538,631.40/807,752.70 = 272,303.40/x
  3. Step 3: Cross multiply
    538,631.40x = 807,752.70 × 272,303.40
  4. Step 4: Simplify right side
    538,631.40x = 219,953,806,569.18
  5. Step 5: Solve for x
    x = 219,953,806,569.18/538,631.40
  6. Step 6: Final answer
    x = 408,356.82

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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.