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Finding the Fourth Proportional to 385,820.64, 532,329.60 and 249,896.16

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Solution

The fourth proportional to 385,820.64, 532,329.60 and 249,896.16 is: 344,790.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,820.64 : 532,329.60 = 249,896.16 : x
  2. Step 2: Convert to fraction form
    385,820.64/532,329.60 = 249,896.16/x
  3. Step 3: Cross multiply
    385,820.64x = 532,329.60 × 249,896.16
  4. Step 4: Simplify right side
    385,820.64x = 133,027,122,894.34
  5. Step 5: Solve for x
    x = 133,027,122,894.34/385,820.64
  6. Step 6: Final answer
    x = 344,790.06

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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.