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Finding the Fourth Proportional to 542,751.84, 813,961.92 and 375,348

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Solution

The fourth proportional to 542,751.84, 813,961.92 and 375,348 is: 562,907.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,751.84 : 813,961.92 = 375,348 : x
  2. Step 2: Convert to fraction form
    542,751.84/813,961.92 = 375,348/x
  3. Step 3: Cross multiply
    542,751.84x = 813,961.92 × 375,348
  4. Step 4: Simplify right side
    542,751.84x = 305,518,978,748.16
  5. Step 5: Solve for x
    x = 305,518,978,748.16/542,751.84
  6. Step 6: Final answer
    x = 562,907.31

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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.