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Finding the Fourth Proportional to 497,704.78, 686,803.00 and 282,815.02

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Solution

The fourth proportional to 497,704.78, 686,803.00 and 282,815.02 is: 390,267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,704.78 : 686,803.00 = 282,815.02 : x
  2. Step 2: Convert to fraction form
    497,704.78/686,803.00 = 282,815.02/x
  3. Step 3: Cross multiply
    497,704.78x = 686,803.00 × 282,815.02
  4. Step 4: Simplify right side
    497,704.78x = 194,238,199,332.97
  5. Step 5: Solve for x
    x = 194,238,199,332.97/497,704.78
  6. Step 6: Final answer
    x = 390,267.90

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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.