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Finding the Fourth Proportional to 653,978.52, 902,461.32 and 382,071.60

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Solution

The fourth proportional to 653,978.52, 902,461.32 and 382,071.60 is: 527,241.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,978.52 : 902,461.32 = 382,071.60 : x
  2. Step 2: Convert to fraction form
    653,978.52/902,461.32 = 382,071.60/x
  3. Step 3: Cross multiply
    653,978.52x = 902,461.32 × 382,071.60
  4. Step 4: Simplify right side
    653,978.52x = 344,804,840,470.51
  5. Step 5: Solve for x
    x = 344,804,840,470.51/653,978.52
  6. Step 6: Final answer
    x = 527,241.84

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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.