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Finding the Fourth Proportional to 360,718.50, 497,747.78 and 207,806.20

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Solution

The fourth proportional to 360,718.50, 497,747.78 and 207,806.20 is: 286,747.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,718.50 : 497,747.78 = 207,806.20 : x
  2. Step 2: Convert to fraction form
    360,718.50/497,747.78 = 207,806.20/x
  3. Step 3: Cross multiply
    360,718.50x = 497,747.78 × 207,806.20
  4. Step 4: Simplify right side
    360,718.50x = 103,435,074,720.24
  5. Step 5: Solve for x
    x = 103,435,074,720.24/360,718.50
  6. Step 6: Final answer
    x = 286,747.35

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1.5x scale

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.