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Finding the Fourth Proportional to 632,351.16, 872,400.24 and 390,213

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Solution

The fourth proportional to 632,351.16, 872,400.24 and 390,213 is: 538,343.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,351.16 : 872,400.24 = 390,213 : x
  2. Step 2: Convert to fraction form
    632,351.16/872,400.24 = 390,213/x
  3. Step 3: Cross multiply
    632,351.16x = 872,400.24 × 390,213
  4. Step 4: Simplify right side
    632,351.16x = 340,421,914,851.12
  5. Step 5: Solve for x
    x = 340,421,914,851.12/632,351.16
  6. Step 6: Final answer
    x = 538,343.15

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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.