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Finding the Fourth Proportional to 656,756.40, 906,657.24 and 415,286.64

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Solution

The fourth proportional to 656,756.40, 906,657.24 and 415,286.64 is: 573,306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,756.40 : 906,657.24 = 415,286.64 : x
  2. Step 2: Convert to fraction form
    656,756.40/906,657.24 = 415,286.64/x
  3. Step 3: Cross multiply
    656,756.40x = 906,657.24 × 415,286.64
  4. Step 4: Simplify right side
    656,756.40x = 376,522,638,831.27
  5. Step 5: Solve for x
    x = 376,522,638,831.27/656,756.40
  6. Step 6: Final answer
    x = 573,306.39

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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.