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Finding the Fourth Proportional to 761,319, 1,050,654.65 and 421,787.25

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Solution

The fourth proportional to 761,319, 1,050,654.65 and 421,787.25 is: 582,085.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,319 : 1,050,654.65 = 421,787.25 : x
  2. Step 2: Convert to fraction form
    761,319/1,050,654.65 = 421,787.25/x
  3. Step 3: Cross multiply
    761,319x = 1,050,654.65 × 421,787.25
  4. Step 4: Simplify right side
    761,319x = 443,152,733,414.28
  5. Step 5: Solve for x
    x = 443,152,733,414.28/761,319
  6. Step 6: Final answer
    x = 582,085.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.