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Finding the Fourth Proportional to 294,879.12, 442,275.12 and 145,079.16

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Solution

The fourth proportional to 294,879.12, 442,275.12 and 145,079.16 is: 217,597.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,879.12 : 442,275.12 = 145,079.16 : x
  2. Step 2: Convert to fraction form
    294,879.12/442,275.12 = 145,079.16/x
  3. Step 3: Cross multiply
    294,879.12x = 442,275.12 × 145,079.16
  4. Step 4: Simplify right side
    294,879.12x = 64,164,902,898.50
  5. Step 5: Solve for x
    x = 64,164,902,898.50/294,879.12
  6. Step 6: Final answer
    x = 217,597.31

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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.