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Finding the Fourth Proportional to 610,213.40, 917,288.40 and 433,941.20

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Solution

The fourth proportional to 610,213.40, 917,288.40 and 433,941.20 is: 652,311.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,213.40 : 917,288.40 = 433,941.20 : x
  2. Step 2: Convert to fraction form
    610,213.40/917,288.40 = 433,941.20/x
  3. Step 3: Cross multiply
    610,213.40x = 917,288.40 × 433,941.20
  4. Step 4: Simplify right side
    610,213.40x = 398,049,229,042.08
  5. Step 5: Solve for x
    x = 398,049,229,042.08/610,213.40
  6. Step 6: Final answer
    x = 652,311.52

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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.