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Finding the Fourth Proportional to 256,095.48, 353,411.82 and 142,915.80

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Solution

The fourth proportional to 256,095.48, 353,411.82 and 142,915.80 is: 197,223.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,095.48 : 353,411.82 = 142,915.80 : x
  2. Step 2: Convert to fraction form
    256,095.48/353,411.82 = 142,915.80/x
  3. Step 3: Cross multiply
    256,095.48x = 353,411.82 × 142,915.80
  4. Step 4: Simplify right side
    256,095.48x = 50,508,132,984.76
  5. Step 5: Solve for x
    x = 50,508,132,984.76/256,095.48
  6. Step 6: Final answer
    x = 197,223.84

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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.