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Finding the Fourth Proportional to 360,425.40, 497,368.62 and 201,449.40

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Solution

The fourth proportional to 360,425.40, 497,368.62 and 201,449.40 is: 277,989.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,425.40 : 497,368.62 = 201,449.40 : x
  2. Step 2: Convert to fraction form
    360,425.40/497,368.62 = 201,449.40/x
  3. Step 3: Cross multiply
    360,425.40x = 497,368.62 × 201,449.40
  4. Step 4: Simplify right side
    360,425.40x = 100,194,610,077.83
  5. Step 5: Solve for x
    x = 100,194,610,077.83/360,425.40
  6. Step 6: Final answer
    x = 277,989.87

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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.