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Finding the Fourth Proportional to 497,686.82, 686,807.79 and 282,827.30

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Solution

The fourth proportional to 497,686.82, 686,807.79 and 282,827.30 is: 390,301.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,686.82 : 686,807.79 = 282,827.30 : x
  2. Step 2: Convert to fraction form
    497,686.82/686,807.79 = 282,827.30/x
  3. Step 3: Cross multiply
    497,686.82x = 686,807.79 × 282,827.30
  4. Step 4: Simplify right side
    497,686.82x = 194,247,992,864.67
  5. Step 5: Solve for x
    x = 194,247,992,864.67/497,686.82
  6. Step 6: Final answer
    x = 390,301.66

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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.