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Finding the Fourth Proportional to 509,001.88, 702,478.38 and 291,230.68

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Solution

The fourth proportional to 509,001.88, 702,478.38 and 291,230.68 is: 401,930.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,001.88 : 702,478.38 = 291,230.68 : x
  2. Step 2: Convert to fraction form
    509,001.88/702,478.38 = 291,230.68/x
  3. Step 3: Cross multiply
    509,001.88x = 702,478.38 × 291,230.68
  4. Step 4: Simplify right side
    509,001.88x = 204,583,256,292.70
  5. Step 5: Solve for x
    x = 204,583,256,292.70/509,001.88
  6. Step 6: Final answer
    x = 401,930.26

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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.