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Finding the Fourth Proportional to 376,461.60, 564,692.40 and 127,143.60

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Solution

The fourth proportional to 376,461.60, 564,692.40 and 127,143.60 is: 190,715.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,461.60 : 564,692.40 = 127,143.60 : x
  2. Step 2: Convert to fraction form
    376,461.60/564,692.40 = 127,143.60/x
  3. Step 3: Cross multiply
    376,461.60x = 564,692.40 × 127,143.60
  4. Step 4: Simplify right side
    376,461.60x = 71,797,024,628.64
  5. Step 5: Solve for x
    x = 71,797,024,628.64/376,461.60
  6. Step 6: Final answer
    x = 190,715.40

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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.