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Finding the Fourth Proportional to 497,506.32, 686,558.97 and 282,646.80

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Solution

The fourth proportional to 497,506.32, 686,558.97 and 282,646.80 is: 390,052.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,506.32 : 686,558.97 = 282,646.80 : x
  2. Step 2: Convert to fraction form
    497,506.32/686,558.97 = 282,646.80/x
  3. Step 3: Cross multiply
    497,506.32x = 686,558.97 × 282,646.80
  4. Step 4: Simplify right side
    497,506.32x = 194,053,695,881.80
  5. Step 5: Solve for x
    x = 194,053,695,881.80/497,506.32
  6. Step 6: Final answer
    x = 390,052.73

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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.