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Finding the Fourth Proportional to 397,643.68, 596,281.20 and 148,258.72

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Solution

The fourth proportional to 397,643.68, 596,281.20 and 148,258.72 is: 222,319.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,643.68 : 596,281.20 = 148,258.72 : x
  2. Step 2: Convert to fraction form
    397,643.68/596,281.20 = 148,258.72/x
  3. Step 3: Cross multiply
    397,643.68x = 596,281.20 × 148,258.72
  4. Step 4: Simplify right side
    397,643.68x = 88,403,887,472.06
  5. Step 5: Solve for x
    x = 88,403,887,472.06/397,643.68
  6. Step 6: Final answer
    x = 222,319.36

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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.