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Finding the Fourth Proportional to 497,367.76, 686,346.04 and 282,507.16

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Solution

The fourth proportional to 497,367.76, 686,346.04 and 282,507.16 is: 389,847.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,367.76 : 686,346.04 = 282,507.16 : x
  2. Step 2: Convert to fraction form
    497,367.76/686,346.04 = 282,507.16/x
  3. Step 3: Cross multiply
    497,367.76x = 686,346.04 × 282,507.16
  4. Step 4: Simplify right side
    497,367.76x = 193,897,670,537.65
  5. Step 5: Solve for x
    x = 193,897,670,537.65/497,367.76
  6. Step 6: Final answer
    x = 389,847.69

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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.