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Finding the Fourth Proportional to 566,721, 782,074.98 and 312,071.58

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Solution

The fourth proportional to 566,721, 782,074.98 and 312,071.58 is: 430,658.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,721 : 782,074.98 = 312,071.58 : x
  2. Step 2: Convert to fraction form
    566,721/782,074.98 = 312,071.58/x
  3. Step 3: Cross multiply
    566,721x = 782,074.98 × 312,071.58
  4. Step 4: Simplify right side
    566,721x = 244,063,374,687.07
  5. Step 5: Solve for x
    x = 244,063,374,687.07/566,721
  6. Step 6: Final answer
    x = 430,658.78

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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.