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Finding the Fourth Proportional to 312,042.80, 468,064.20 and 292,359.80

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Solution

The fourth proportional to 312,042.80, 468,064.20 and 292,359.80 is: 438,539.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,042.80 : 468,064.20 = 292,359.80 : x
  2. Step 2: Convert to fraction form
    312,042.80/468,064.20 = 292,359.80/x
  3. Step 3: Cross multiply
    312,042.80x = 468,064.20 × 292,359.80
  4. Step 4: Simplify right side
    312,042.80x = 136,843,155,899.16
  5. Step 5: Solve for x
    x = 136,843,155,899.16/312,042.80
  6. Step 6: Final answer
    x = 438,539.70

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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.