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Finding the Fourth Proportional to 509,314.59, 702,896.00 and 328,403.12

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Solution

The fourth proportional to 509,314.59, 702,896.00 and 328,403.12 is: 453,223.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,314.59 : 702,896.00 = 328,403.12 : x
  2. Step 2: Convert to fraction form
    509,314.59/702,896.00 = 328,403.12/x
  3. Step 3: Cross multiply
    509,314.59x = 702,896.00 × 328,403.12
  4. Step 4: Simplify right side
    509,314.59x = 230,833,234,279.02
  5. Step 5: Solve for x
    x = 230,833,234,279.02/509,314.59
  6. Step 6: Final answer
    x = 453,223.29

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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.