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Finding the Fourth Proportional to 598,854.60, 898,406.70 and 199,619.40

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Solution

The fourth proportional to 598,854.60, 898,406.70 and 199,619.40 is: 299,470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,854.60 : 898,406.70 = 199,619.40 : x
  2. Step 2: Convert to fraction form
    598,854.60/898,406.70 = 199,619.40/x
  3. Step 3: Cross multiply
    598,854.60x = 898,406.70 × 199,619.40
  4. Step 4: Simplify right side
    598,854.60x = 179,339,406,409.98
  5. Step 5: Solve for x
    x = 179,339,406,409.98/598,854.60
  6. Step 6: Final answer
    x = 299,470.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.