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Finding the Fourth Proportional to 278,862.78, 384,832.98 and 151,538.34

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Solution

The fourth proportional to 278,862.78, 384,832.98 and 151,538.34 is: 209,124.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,862.78 : 384,832.98 = 151,538.34 : x
  2. Step 2: Convert to fraction form
    278,862.78/384,832.98 = 151,538.34/x
  3. Step 3: Cross multiply
    278,862.78x = 384,832.98 × 151,538.34
  4. Step 4: Simplify right side
    278,862.78x = 58,316,950,966.45
  5. Step 5: Solve for x
    x = 58,316,950,966.45/278,862.78
  6. Step 6: Final answer
    x = 209,124.18

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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.