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Finding the Fourth Proportional to 360,641.20, 497,641.50 and 207,729.12

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Solution

The fourth proportional to 360,641.20, 497,641.50 and 207,729.12 is: 286,641.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,641.20 : 497,641.50 = 207,729.12 : x
  2. Step 2: Convert to fraction form
    360,641.20/497,641.50 = 207,729.12/x
  3. Step 3: Cross multiply
    360,641.20x = 497,641.50 × 207,729.12
  4. Step 4: Simplify right side
    360,641.20x = 103,374,630,870.48
  5. Step 5: Solve for x
    x = 103,374,630,870.48/360,641.20
  6. Step 6: Final answer
    x = 286,641.21

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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.