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Finding the Fourth Proportional to 498,829.62, 688,419.60 and 283,969.64

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Solution

The fourth proportional to 498,829.62, 688,419.60 and 283,969.64 is: 391,897.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,829.62 : 688,419.60 = 283,969.64 : x
  2. Step 2: Convert to fraction form
    498,829.62/688,419.60 = 283,969.64/x
  3. Step 3: Cross multiply
    498,829.62x = 688,419.60 × 283,969.64
  4. Step 4: Simplify right side
    498,829.62x = 195,490,265,980.94
  5. Step 5: Solve for x
    x = 195,490,265,980.94/498,829.62
  6. Step 6: Final answer
    x = 391,897.87

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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.