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Finding the Fourth Proportional to 385,709.70, 532,312.32 and 224,615.28

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Solution

The fourth proportional to 385,709.70, 532,312.32 and 224,615.28 is: 309,988.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,709.70 : 532,312.32 = 224,615.28 : x
  2. Step 2: Convert to fraction form
    385,709.70/532,312.32 = 224,615.28/x
  3. Step 3: Cross multiply
    385,709.70x = 532,312.32 × 224,615.28
  4. Step 4: Simplify right side
    385,709.70x = 119,565,480,804.25
  5. Step 5: Solve for x
    x = 119,565,480,804.25/385,709.70
  6. Step 6: Final answer
    x = 309,988.27

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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.