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Finding the Fourth Proportional to 371,765.60, 557,032.80 and 213,718.40

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Solution

The fourth proportional to 371,765.60, 557,032.80 and 213,718.40 is: 320,223.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,765.60 : 557,032.80 = 213,718.40 : x
  2. Step 2: Convert to fraction form
    371,765.60/557,032.80 = 213,718.40/x
  3. Step 3: Cross multiply
    371,765.60x = 557,032.80 × 213,718.40
  4. Step 4: Simplify right side
    371,765.60x = 119,048,158,763.52
  5. Step 5: Solve for x
    x = 119,048,158,763.52/371,765.60
  6. Step 6: Final answer
    x = 320,223.71

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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.