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Finding the Fourth Proportional to 432,522.18, 648,324 and 255,112.74

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Solution

The fourth proportional to 432,522.18, 648,324 and 255,112.74 is: 382,398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,522.18 : 648,324 = 255,112.74 : x
  2. Step 2: Convert to fraction form
    432,522.18/648,324 = 255,112.74/x
  3. Step 3: Cross multiply
    432,522.18x = 648,324 × 255,112.74
  4. Step 4: Simplify right side
    432,522.18x = 165,395,712,047.76
  5. Step 5: Solve for x
    x = 165,395,712,047.76/432,522.18
  6. Step 6: Final answer
    x = 382,398.22

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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.