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Finding the Fourth Proportional to 314,001.70, 471,031.35 and 103,640.10

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Solution

The fourth proportional to 314,001.70, 471,031.35 and 103,640.10 is: 155,469.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,001.70 : 471,031.35 = 103,640.10 : x
  2. Step 2: Convert to fraction form
    314,001.70/471,031.35 = 103,640.10/x
  3. Step 3: Cross multiply
    314,001.70x = 471,031.35 × 103,640.10
  4. Step 4: Simplify right side
    314,001.70x = 48,817,736,217.14
  5. Step 5: Solve for x
    x = 48,817,736,217.14/314,001.70
  6. Step 6: Final answer
    x = 155,469.66

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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.