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Finding the Fourth Proportional to 442,347.51, 663,650.87 and 142,822.47

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Solution

The fourth proportional to 442,347.51, 663,650.87 and 142,822.47 is: 214,275.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,347.51 : 663,650.87 = 142,822.47 : x
  2. Step 2: Convert to fraction form
    442,347.51/663,650.87 = 142,822.47/x
  3. Step 3: Cross multiply
    442,347.51x = 663,650.87 × 142,822.47
  4. Step 4: Simplify right side
    442,347.51x = 94,784,255,756.94
  5. Step 5: Solve for x
    x = 94,784,255,756.94/442,347.51
  6. Step 6: Final answer
    x = 214,275.55

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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.