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Finding the Fourth Proportional to 257,882.96, 386,643 and 99,978.32

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Solution

The fourth proportional to 257,882.96, 386,643 and 99,978.32 is: 149,897.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,882.96 : 386,643 = 99,978.32 : x
  2. Step 2: Convert to fraction form
    257,882.96/386,643 = 99,978.32/x
  3. Step 3: Cross multiply
    257,882.96x = 386,643 × 99,978.32
  4. Step 4: Simplify right side
    257,882.96x = 38,655,917,579.76
  5. Step 5: Solve for x
    x = 38,655,917,579.76/257,882.96
  6. Step 6: Final answer
    x = 149,897.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.