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Finding the Fourth Proportional to 280,685.76, 387,352.17 and 153,369.78

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Solution

The fourth proportional to 280,685.76, 387,352.17 and 153,369.78 is: 211,653.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,685.76 : 387,352.17 = 153,369.78 : x
  2. Step 2: Convert to fraction form
    280,685.76/387,352.17 = 153,369.78/x
  3. Step 3: Cross multiply
    280,685.76x = 387,352.17 × 153,369.78
  4. Step 4: Simplify right side
    280,685.76x = 59,408,117,095.42
  5. Step 5: Solve for x
    x = 59,408,117,095.42/280,685.76
  6. Step 6: Final answer
    x = 211,653.48

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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.