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Finding the Fourth Proportional to 283,273.60, 390,920.16 and 155,952

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Solution

The fourth proportional to 283,273.60, 390,920.16 and 155,952 is: 215,215.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,273.60 : 390,920.16 = 155,952 : x
  2. Step 2: Convert to fraction form
    283,273.60/390,920.16 = 155,952/x
  3. Step 3: Cross multiply
    283,273.60x = 390,920.16 × 155,952
  4. Step 4: Simplify right side
    283,273.60x = 60,964,780,792.32
  5. Step 5: Solve for x
    x = 60,964,780,792.32/283,273.60
  6. Step 6: Final answer
    x = 215,215.19

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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.