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Finding the Fourth Proportional to 443,305.32, 611,962.74 and 282,381

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Solution

The fourth proportional to 443,305.32, 611,962.74 and 282,381 is: 389,814.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,305.32 : 611,962.74 = 282,381 : x
  2. Step 2: Convert to fraction form
    443,305.32/611,962.74 = 282,381/x
  3. Step 3: Cross multiply
    443,305.32x = 611,962.74 × 282,381
  4. Step 4: Simplify right side
    443,305.32x = 172,806,650,483.94
  5. Step 5: Solve for x
    x = 172,806,650,483.94/443,305.32
  6. Step 6: Final answer
    x = 389,814.07

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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.