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Finding the Fourth Proportional to 376,437.60, 564,051.60 and 198,712.80

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Solution

The fourth proportional to 376,437.60, 564,051.60 and 198,712.80 is: 297,749.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,437.60 : 564,051.60 = 198,712.80 : x
  2. Step 2: Convert to fraction form
    376,437.60/564,051.60 = 198,712.80/x
  3. Step 3: Cross multiply
    376,437.60x = 564,051.60 × 198,712.80
  4. Step 4: Simplify right side
    376,437.60x = 112,084,272,780.48
  5. Step 5: Solve for x
    x = 112,084,272,780.48/376,437.60
  6. Step 6: Final answer
    x = 297,749.94

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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.