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Finding the Fourth Proportional to 256,422.69, 353,808.48 and 148,937.10

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Solution

The fourth proportional to 256,422.69, 353,808.48 and 148,937.10 is: 205,501.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,422.69 : 353,808.48 = 148,937.10 : x
  2. Step 2: Convert to fraction form
    256,422.69/353,808.48 = 148,937.10/x
  3. Step 3: Cross multiply
    256,422.69x = 353,808.48 × 148,937.10
  4. Step 4: Simplify right side
    256,422.69x = 52,695,208,966.61
  5. Step 5: Solve for x
    x = 52,695,208,966.61/256,422.69
  6. Step 6: Final answer
    x = 205,501.35

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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.