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Finding the Fourth Proportional to 385,701.70, 532,301.28 and 224,607.28

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Solution

The fourth proportional to 385,701.70, 532,301.28 and 224,607.28 is: 309,977.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,701.70 : 532,301.28 = 224,607.28 : x
  2. Step 2: Convert to fraction form
    385,701.70/532,301.28 = 224,607.28/x
  3. Step 3: Cross multiply
    385,701.70x = 532,301.28 × 224,607.28
  4. Step 4: Simplify right side
    385,701.70x = 119,558,742,641.32
  5. Step 5: Solve for x
    x = 119,558,742,641.32/385,701.70
  6. Step 6: Final answer
    x = 309,977.22

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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.