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Finding the Fourth Proportional to 734,624, 1,102,120.96 and 209,312

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Solution

The fourth proportional to 734,624, 1,102,120.96 and 209,312 is: 314,020.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,624 : 1,102,120.96 = 209,312 : x
  2. Step 2: Convert to fraction form
    734,624/1,102,120.96 = 209,312/x
  3. Step 3: Cross multiply
    734,624x = 1,102,120.96 × 209,312
  4. Step 4: Simplify right side
    734,624x = 230,687,142,379.52
  5. Step 5: Solve for x
    x = 230,687,142,379.52/734,624
  6. Step 6: Final answer
    x = 314,020.70

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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.