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Finding the Fourth Proportional to 278,005.91, 383,643.95 and 157,142.93

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Solution

The fourth proportional to 278,005.91, 383,643.95 and 157,142.93 is: 216,854.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,005.91 : 383,643.95 = 157,142.93 : x
  2. Step 2: Convert to fraction form
    278,005.91/383,643.95 = 157,142.93/x
  3. Step 3: Cross multiply
    278,005.91x = 383,643.95 × 157,142.93
  4. Step 4: Simplify right side
    278,005.91x = 60,286,931,675.84
  5. Step 5: Solve for x
    x = 60,286,931,675.84/278,005.91
  6. Step 6: Final answer
    x = 216,854.86

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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.