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Finding the Fourth Proportional to 497,687.32, 686,808.48 and 282,827.80

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Solution

The fourth proportional to 497,687.32, 686,808.48 and 282,827.80 is: 390,302.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,687.32 : 686,808.48 = 282,827.80 : x
  2. Step 2: Convert to fraction form
    497,687.32/686,808.48 = 282,827.80/x
  3. Step 3: Cross multiply
    497,687.32x = 686,808.48 × 282,827.80
  4. Step 4: Simplify right side
    497,687.32x = 194,248,531,419.74
  5. Step 5: Solve for x
    x = 194,248,531,419.74/497,687.32
  6. Step 6: Final answer
    x = 390,302.35

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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.