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Finding the Fourth Proportional to 278,645.76, 384,554.88 and 157,808.16

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Solution

The fourth proportional to 278,645.76, 384,554.88 and 157,808.16 is: 217,788.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,645.76 : 384,554.88 = 157,808.16 : x
  2. Step 2: Convert to fraction form
    278,645.76/384,554.88 = 157,808.16/x
  3. Step 3: Cross multiply
    278,645.76x = 384,554.88 × 157,808.16
  4. Step 4: Simplify right side
    278,645.76x = 60,685,898,031.82
  5. Step 5: Solve for x
    x = 60,685,898,031.82/278,645.76
  6. Step 6: Final answer
    x = 217,788.70

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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.