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Finding the Fourth Proportional to 509,108, 702,583.62 and 282,768.08

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Solution

The fourth proportional to 509,108, 702,583.62 and 282,768.08 is: 390,228.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,108 : 702,583.62 = 282,768.08 : x
  2. Step 2: Convert to fraction form
    509,108/702,583.62 = 282,768.08/x
  3. Step 3: Cross multiply
    509,108x = 702,583.62 × 282,768.08
  4. Step 4: Simplify right side
    509,108x = 198,668,221,266.85
  5. Step 5: Solve for x
    x = 198,668,221,266.85/509,108
  6. Step 6: Final answer
    x = 390,228.05

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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.