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Finding the Fourth Proportional to 653,531.05, 980,357 and 254,202.13

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Solution

The fourth proportional to 653,531.05, 980,357 and 254,202.13 is: 381,326.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,531.05 : 980,357 = 254,202.13 : x
  2. Step 2: Convert to fraction form
    653,531.05/980,357 = 254,202.13/x
  3. Step 3: Cross multiply
    653,531.05x = 980,357 × 254,202.13
  4. Step 4: Simplify right side
    653,531.05x = 249,208,837,560.41
  5. Step 5: Solve for x
    x = 249,208,837,560.41/653,531.05
  6. Step 6: Final answer
    x = 381,326.70

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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.