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Finding the Fourth Proportional to 497,597.28, 686,659.44 and 282,708.96

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Solution

The fourth proportional to 497,597.28, 686,659.44 and 282,708.96 is: 390,124.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,597.28 : 686,659.44 = 282,708.96 : x
  2. Step 2: Convert to fraction form
    497,597.28/686,659.44 = 282,708.96/x
  3. Step 3: Cross multiply
    497,597.28x = 686,659.44 × 282,708.96
  4. Step 4: Simplify right side
    497,597.28x = 194,124,776,156.58
  5. Step 5: Solve for x
    x = 194,124,776,156.58/497,597.28
  6. Step 6: Final answer
    x = 390,124.27

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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.