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Finding the Fourth Proportional to 488,576, 674,156.12 and 307,159.40

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Solution

The fourth proportional to 488,576, 674,156.12 and 307,159.40 is: 423,830.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,576 : 674,156.12 = 307,159.40 : x
  2. Step 2: Convert to fraction form
    488,576/674,156.12 = 307,159.40/x
  3. Step 3: Cross multiply
    488,576x = 674,156.12 × 307,159.40
  4. Step 4: Simplify right side
    488,576x = 207,073,389,325.53
  5. Step 5: Solve for x
    x = 207,073,389,325.53/488,576
  6. Step 6: Final answer
    x = 423,830.46

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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.