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Finding the Fourth Proportional to 291,957.52, 402,915.19 and 164,630.38

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Solution

The fourth proportional to 291,957.52, 402,915.19 and 164,630.38 is: 227,197.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,957.52 : 402,915.19 = 164,630.38 : x
  2. Step 2: Convert to fraction form
    291,957.52/402,915.19 = 164,630.38/x
  3. Step 3: Cross multiply
    291,957.52x = 402,915.19 × 164,630.38
  4. Step 4: Simplify right side
    291,957.52x = 66,332,080,837.47
  5. Step 5: Solve for x
    x = 66,332,080,837.47/291,957.52
  6. Step 6: Final answer
    x = 227,197.71

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1.5x scale

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.