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Finding the Fourth Proportional to 313,010.55, 469,345.91 and 142,138.44

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Solution

The fourth proportional to 313,010.55, 469,345.91 and 142,138.44 is: 213,130.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,010.55 : 469,345.91 = 142,138.44 : x
  2. Step 2: Convert to fraction form
    313,010.55/469,345.91 = 142,138.44/x
  3. Step 3: Cross multiply
    313,010.55x = 469,345.91 × 142,138.44
  4. Step 4: Simplify right side
    313,010.55x = 66,712,094,757.09
  5. Step 5: Solve for x
    x = 66,712,094,757.09/313,010.55
  6. Step 6: Final answer
    x = 213,130.50

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1.5x scale

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.