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Finding the Fourth Proportional to 653,707.71, 902,116.72 and 363,319.23

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Solution

The fourth proportional to 653,707.71, 902,116.72 and 363,319.23 is: 501,380.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,707.71 : 902,116.72 = 363,319.23 : x
  2. Step 2: Convert to fraction form
    653,707.71/902,116.72 = 363,319.23/x
  3. Step 3: Cross multiply
    653,707.71x = 902,116.72 × 363,319.23
  4. Step 4: Simplify right side
    653,707.71x = 327,756,352,080.53
  5. Step 5: Solve for x
    x = 327,756,352,080.53/653,707.71
  6. Step 6: Final answer
    x = 501,380.58

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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.