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Finding the Fourth Proportional to 724,653, 1,087,098.30 and 298,073.18

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Solution

The fourth proportional to 724,653, 1,087,098.30 and 298,073.18 is: 447,158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,653 : 1,087,098.30 = 298,073.18 : x
  2. Step 2: Convert to fraction form
    724,653/1,087,098.30 = 298,073.18/x
  3. Step 3: Cross multiply
    724,653x = 1,087,098.30 × 298,073.18
  4. Step 4: Simplify right side
    724,653x = 324,034,849,971.34
  5. Step 5: Solve for x
    x = 324,034,849,971.34/724,653
  6. Step 6: Final answer
    x = 447,158.64

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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.