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Finding the Fourth Proportional to 539,900, 745,062.06 and 313,560.08

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Solution

The fourth proportional to 539,900, 745,062.06 and 313,560.08 is: 432,712.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,900 : 745,062.06 = 313,560.08 : x
  2. Step 2: Convert to fraction form
    539,900/745,062.06 = 313,560.08/x
  3. Step 3: Cross multiply
    539,900x = 745,062.06 × 313,560.08
  4. Step 4: Simplify right side
    539,900x = 233,621,719,138.57
  5. Step 5: Solve for x
    x = 233,621,719,138.57/539,900
  6. Step 6: Final answer
    x = 432,712.95

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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.