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Finding the Fourth Proportional to 360,717.50, 497,746.40 and 207,805.20

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Solution

The fourth proportional to 360,717.50, 497,746.40 and 207,805.20 is: 286,745.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,717.50 : 497,746.40 = 207,805.20 : x
  2. Step 2: Convert to fraction form
    360,717.50/497,746.40 = 207,805.20/x
  3. Step 3: Cross multiply
    360,717.50x = 497,746.40 × 207,805.20
  4. Step 4: Simplify right side
    360,717.50x = 103,434,290,201.28
  5. Step 5: Solve for x
    x = 103,434,290,201.28/360,717.50
  6. Step 6: Final answer
    x = 286,745.97

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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.