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Finding the Fourth Proportional to 360,399,167.60, 497,370,162.14 and 201,619,818.78

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Solution

The fourth proportional to 360,399,167.60, 497,370,162.14 and 201,619,818.78 is: 278,246,153.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,399,167.60 : 497,370,162.14 = 201,619,818.78 : x
  2. Step 2: Convert to fraction form
    360,399,167.60/497,370,162.14 = 201,619,818.78/x
  3. Step 3: Cross multiply
    360,399,167.60x = 497,370,162.14 × 201,619,818.78
  4. Step 4: Simplify right side
    360,399,167.60x = 100,279,681,956,237,920
  5. Step 5: Solve for x
    x = 100,279,681,956,237,920/360,399,167.60
  6. Step 6: Final answer
    x = 278,246,153.08

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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.