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Finding the Fourth Proportional to 509,103, 702,576.72 and 282,763.08

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Solution

The fourth proportional to 509,103, 702,576.72 and 282,763.08 is: 390,221.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,103 : 702,576.72 = 282,763.08 : x
  2. Step 2: Convert to fraction form
    509,103/702,576.72 = 282,763.08/x
  3. Step 3: Cross multiply
    509,103x = 702,576.72 × 282,763.08
  4. Step 4: Simplify right side
    509,103x = 198,662,757,283.50
  5. Step 5: Solve for x
    x = 198,662,757,283.50/509,103
  6. Step 6: Final answer
    x = 390,221.15

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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.