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Finding the Fourth Proportional to 380,482.80, 570,748.83 and 127,753.08

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Solution

The fourth proportional to 380,482.80, 570,748.83 and 127,753.08 is: 191,637.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,482.80 : 570,748.83 = 127,753.08 : x
  2. Step 2: Convert to fraction form
    380,482.80/570,748.83 = 127,753.08/x
  3. Step 3: Cross multiply
    380,482.80x = 570,748.83 × 127,753.08
  4. Step 4: Simplify right side
    380,482.80x = 72,914,920,938.90
  5. Step 5: Solve for x
    x = 72,914,920,938.90/380,482.80
  6. Step 6: Final answer
    x = 191,637.89

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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.