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Finding the Fourth Proportional to 509,382.72, 702,917.28 and 283,020.48

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Solution

The fourth proportional to 509,382.72, 702,917.28 and 283,020.48 is: 390,551.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,382.72 : 702,917.28 = 283,020.48 : x
  2. Step 2: Convert to fraction form
    509,382.72/702,917.28 = 283,020.48/x
  3. Step 3: Cross multiply
    509,382.72x = 702,917.28 × 283,020.48
  4. Step 4: Simplify right side
    509,382.72x = 198,939,985,985.89
  5. Step 5: Solve for x
    x = 198,939,985,985.89/509,382.72
  6. Step 6: Final answer
    x = 390,551.11

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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.