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Finding the Fourth Proportional to 437,865.20, 655,339.80 and 317,580.20

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Solution

The fourth proportional to 437,865.20, 655,339.80 and 317,580.20 is: 475,312.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,865.20 : 655,339.80 = 317,580.20 : x
  2. Step 2: Convert to fraction form
    437,865.20/655,339.80 = 317,580.20/x
  3. Step 3: Cross multiply
    437,865.20x = 655,339.80 × 317,580.20
  4. Step 4: Simplify right side
    437,865.20x = 208,122,944,751.96
  5. Step 5: Solve for x
    x = 208,122,944,751.96/437,865.20
  6. Step 6: Final answer
    x = 475,312.82

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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.