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Finding the Fourth Proportional to 509,733, 702,687.96 and 356,293.35

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Solution

The fourth proportional to 509,733, 702,687.96 and 356,293.35 is: 491,165.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,733 : 702,687.96 = 356,293.35 : x
  2. Step 2: Convert to fraction form
    509,733/702,687.96 = 356,293.35/x
  3. Step 3: Cross multiply
    509,733x = 702,687.96 × 356,293.35
  4. Step 4: Simplify right side
    509,733x = 250,363,047,273.07
  5. Step 5: Solve for x
    x = 250,363,047,273.07/509,733
  6. Step 6: Final answer
    x = 491,165.08

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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.