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Finding the Fourth Proportional to 292,378.37, 438,214.35 and 142,393.91

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Solution

The fourth proportional to 292,378.37, 438,214.35 and 142,393.91 is: 213,418.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,378.37 : 438,214.35 = 142,393.91 : x
  2. Step 2: Convert to fraction form
    292,378.37/438,214.35 = 142,393.91/x
  3. Step 3: Cross multiply
    292,378.37x = 438,214.35 × 142,393.91
  4. Step 4: Simplify right side
    292,378.37x = 62,399,054,714.61
  5. Step 5: Solve for x
    x = 62,399,054,714.61/292,378.37
  6. Step 6: Final answer
    x = 213,418.85

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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.