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Finding the Fourth Proportional to 719,129.82, 991,980.12 and 460,914.78

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Solution

The fourth proportional to 719,129.82, 991,980.12 and 460,914.78 is: 635,793.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,129.82 : 991,980.12 = 460,914.78 : x
  2. Step 2: Convert to fraction form
    719,129.82/991,980.12 = 460,914.78/x
  3. Step 3: Cross multiply
    719,129.82x = 991,980.12 × 460,914.78
  4. Step 4: Simplify right side
    719,129.82x = 457,218,298,774.17
  5. Step 5: Solve for x
    x = 457,218,298,774.17/719,129.82
  6. Step 6: Final answer
    x = 635,793.82

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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.