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Finding the Fourth Proportional to 721,980.50, 996,437.34 and 415,998.27

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Solution

The fourth proportional to 721,980.50, 996,437.34 and 415,998.27 is: 574,137.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,980.50 : 996,437.34 = 415,998.27 : x
  2. Step 2: Convert to fraction form
    721,980.50/996,437.34 = 415,998.27/x
  3. Step 3: Cross multiply
    721,980.50x = 996,437.34 × 415,998.27
  4. Step 4: Simplify right side
    721,980.50x = 414,516,209,603.40
  5. Step 5: Solve for x
    x = 414,516,209,603.40/721,980.50
  6. Step 6: Final answer
    x = 574,137.68

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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.