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Finding the Fourth Proportional to 278,842.32, 418,078.56 and 101,328.24

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Solution

The fourth proportional to 278,842.32, 418,078.56 and 101,328.24 is: 151,925.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,842.32 : 418,078.56 = 101,328.24 : x
  2. Step 2: Convert to fraction form
    278,842.32/418,078.56 = 101,328.24/x
  3. Step 3: Cross multiply
    278,842.32x = 418,078.56 × 101,328.24
  4. Step 4: Simplify right side
    278,842.32x = 42,363,164,666.53
  5. Step 5: Solve for x
    x = 42,363,164,666.53/278,842.32
  6. Step 6: Final answer
    x = 151,925.16

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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.