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Finding the Fourth Proportional to 280,343.68, 386,881.60 and 153,031.04

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Solution

The fourth proportional to 280,343.68, 386,881.60 and 153,031.04 is: 211,186.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,343.68 : 386,881.60 = 153,031.04 : x
  2. Step 2: Convert to fraction form
    280,343.68/386,881.60 = 153,031.04/x
  3. Step 3: Cross multiply
    280,343.68x = 386,881.60 × 153,031.04
  4. Step 4: Simplify right side
    280,343.68x = 59,204,893,604.86
  5. Step 5: Solve for x
    x = 59,204,893,604.86/280,343.68
  6. Step 6: Final answer
    x = 211,186.83

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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.