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Finding the Fourth Proportional to 292,046.20, 438,069.30 and 152,078.20

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Solution

The fourth proportional to 292,046.20, 438,069.30 and 152,078.20 is: 228,117.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,046.20 : 438,069.30 = 152,078.20 : x
  2. Step 2: Convert to fraction form
    292,046.20/438,069.30 = 152,078.20/x
  3. Step 3: Cross multiply
    292,046.20x = 438,069.30 × 152,078.20
  4. Step 4: Simplify right side
    292,046.20x = 66,620,790,619.26
  5. Step 5: Solve for x
    x = 66,620,790,619.26/292,046.20
  6. Step 6: Final answer
    x = 228,117.30

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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.