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Finding the Fourth Proportional to 292,442.10, 438,663.15 and 192,714.90

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Solution

The fourth proportional to 292,442.10, 438,663.15 and 192,714.90 is: 289,072.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,442.10 : 438,663.15 = 192,714.90 : x
  2. Step 2: Convert to fraction form
    292,442.10/438,663.15 = 192,714.90/x
  3. Step 3: Cross multiply
    292,442.10x = 438,663.15 × 192,714.90
  4. Step 4: Simplify right side
    292,442.10x = 84,536,925,085.94
  5. Step 5: Solve for x
    x = 84,536,925,085.94/292,442.10
  6. Step 6: Final answer
    x = 289,072.35

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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.