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Finding the Fourth Proportional to 497,281.60, 686,224.74 and 282,393.28

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Solution

The fourth proportional to 497,281.60, 686,224.74 and 282,393.28 is: 389,689.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,281.60 : 686,224.74 = 282,393.28 : x
  2. Step 2: Convert to fraction form
    497,281.60/686,224.74 = 282,393.28/x
  3. Step 3: Cross multiply
    497,281.60x = 686,224.74 × 282,393.28
  4. Step 4: Simplify right side
    497,281.60x = 193,785,255,145.75
  5. Step 5: Solve for x
    x = 193,785,255,145.75/497,281.60
  6. Step 6: Final answer
    x = 389,689.17

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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.