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Finding the Fourth Proportional to 493,307, 680,763.66 and 266,952.50

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Solution

The fourth proportional to 493,307, 680,763.66 and 266,952.50 is: 368,394.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,307 : 680,763.66 = 266,952.50 : x
  2. Step 2: Convert to fraction form
    493,307/680,763.66 = 266,952.50/x
  3. Step 3: Cross multiply
    493,307x = 680,763.66 × 266,952.50
  4. Step 4: Simplify right side
    493,307x = 181,731,560,946.15
  5. Step 5: Solve for x
    x = 181,731,560,946.15/493,307
  6. Step 6: Final answer
    x = 368,394.45

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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.