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Finding the Fourth Proportional to 418,281.16, 627,423.82 and 102,738.12

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Solution

The fourth proportional to 418,281.16, 627,423.82 and 102,738.12 is: 154,107.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,281.16 : 627,423.82 = 102,738.12 : x
  2. Step 2: Convert to fraction form
    418,281.16/627,423.82 = 102,738.12/x
  3. Step 3: Cross multiply
    418,281.16x = 627,423.82 × 102,738.12
  4. Step 4: Simplify right side
    418,281.16x = 64,460,343,710.02
  5. Step 5: Solve for x
    x = 64,460,343,710.02/418,281.16
  6. Step 6: Final answer
    x = 154,107.69

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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.