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Finding the Fourth Proportional to 378,522.48, 522,360.80 and 208,756.72

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Solution

The fourth proportional to 378,522.48, 522,360.80 and 208,756.72 is: 288,084.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,522.48 : 522,360.80 = 208,756.72 : x
  2. Step 2: Convert to fraction form
    378,522.48/522,360.80 = 208,756.72/x
  3. Step 3: Cross multiply
    378,522.48x = 522,360.80 × 208,756.72
  4. Step 4: Simplify right side
    378,522.48x = 109,046,327,264.58
  5. Step 5: Solve for x
    x = 109,046,327,264.58/378,522.48
  6. Step 6: Final answer
    x = 288,084.15

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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.