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Finding the Fourth Proportional to 509,013.75, 702,447.42 and 279,592.24

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Solution

The fourth proportional to 509,013.75, 702,447.42 and 279,592.24 is: 385,841.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,013.75 : 702,447.42 = 279,592.24 : x
  2. Step 2: Convert to fraction form
    509,013.75/702,447.42 = 279,592.24/x
  3. Step 3: Cross multiply
    509,013.75x = 702,447.42 × 279,592.24
  4. Step 4: Simplify right side
    509,013.75x = 196,398,845,883.90
  5. Step 5: Solve for x
    x = 196,398,845,883.90/509,013.75
  6. Step 6: Final answer
    x = 385,841.93

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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.