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Finding the Fourth Proportional to 497,597.40, 686,685.60 and 282,808.80

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Solution

The fourth proportional to 497,597.40, 686,685.60 and 282,808.80 is: 390,276.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,597.40 : 686,685.60 = 282,808.80 : x
  2. Step 2: Convert to fraction form
    497,597.40/686,685.60 = 282,808.80/x
  3. Step 3: Cross multiply
    497,597.40x = 686,685.60 × 282,808.80
  4. Step 4: Simplify right side
    497,597.40x = 194,200,730,513.28
  5. Step 5: Solve for x
    x = 194,200,730,513.28/497,597.40
  6. Step 6: Final answer
    x = 390,276.82

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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.