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Finding the Fourth Proportional to 493,307.69, 680,764.61 and 266,953.19

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Solution

The fourth proportional to 493,307.69, 680,764.61 and 266,953.19 is: 368,395.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,307.69 : 680,764.61 = 266,953.19 : x
  2. Step 2: Convert to fraction form
    493,307.69/680,764.61 = 266,953.19/x
  3. Step 3: Cross multiply
    493,307.69x = 680,764.61 × 266,953.19
  4. Step 4: Simplify right side
    493,307.69x = 181,732,284,278.61
  5. Step 5: Solve for x
    x = 181,732,284,278.61/493,307.69
  6. Step 6: Final answer
    x = 368,395.40

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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.