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Finding the Fourth Proportional to 721,842.89, 996,364.93 and 416,123.63

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Solution

The fourth proportional to 721,842.89, 996,364.93 and 416,123.63 is: 574,378.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,842.89 : 996,364.93 = 416,123.63 : x
  2. Step 2: Convert to fraction form
    721,842.89/996,364.93 = 416,123.63/x
  3. Step 3: Cross multiply
    721,842.89x = 996,364.93 × 416,123.63
  4. Step 4: Simplify right side
    721,842.89x = 414,610,988,800.42
  5. Step 5: Solve for x
    x = 414,610,988,800.42/721,842.89
  6. Step 6: Final answer
    x = 574,378.43

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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.