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Finding the Fourth Proportional to 457,430.76, 686,016 and 288,698.58

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Solution

The fourth proportional to 457,430.76, 686,016 and 288,698.58 is: 432,965.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,430.76 : 686,016 = 288,698.58 : x
  2. Step 2: Convert to fraction form
    457,430.76/686,016 = 288,698.58/x
  3. Step 3: Cross multiply
    457,430.76x = 686,016 × 288,698.58
  4. Step 4: Simplify right side
    457,430.76x = 198,051,845,057.28
  5. Step 5: Solve for x
    x = 198,051,845,057.28/457,430.76
  6. Step 6: Final answer
    x = 432,965.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.