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Finding the Fourth Proportional to 509,078.74, 702,487.69 and 294,232.72

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Solution

The fourth proportional to 509,078.74, 702,487.69 and 294,232.72 is: 406,017.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,078.74 : 702,487.69 = 294,232.72 : x
  2. Step 2: Convert to fraction form
    509,078.74/702,487.69 = 294,232.72/x
  3. Step 3: Cross multiply
    509,078.74x = 702,487.69 × 294,232.72
  4. Step 4: Simplify right side
    509,078.74x = 206,694,865,592.80
  5. Step 5: Solve for x
    x = 206,694,865,592.80/509,078.74
  6. Step 6: Final answer
    x = 406,017.48

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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.