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Finding the Fourth Proportional to 312,649.83, 431,605.53 and 209,461.70

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Solution

The fourth proportional to 312,649.83, 431,605.53 and 209,461.70 is: 289,156.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,649.83 : 431,605.53 = 209,461.70 : x
  2. Step 2: Convert to fraction form
    312,649.83/431,605.53 = 209,461.70/x
  3. Step 3: Cross multiply
    312,649.83x = 431,605.53 × 209,461.70
  4. Step 4: Simplify right side
    312,649.83x = 90,404,825,885.17
  5. Step 5: Solve for x
    x = 90,404,825,885.17/312,649.83
  6. Step 6: Final answer
    x = 289,156.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.