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Finding the Fourth Proportional to 487,678, 730,852.80 and 274,547.56

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Solution

The fourth proportional to 487,678, 730,852.80 and 274,547.56 is: 411,447.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,678 : 730,852.80 = 274,547.56 : x
  2. Step 2: Convert to fraction form
    487,678/730,852.80 = 274,547.56/x
  3. Step 3: Cross multiply
    487,678x = 730,852.80 × 274,547.56
  4. Step 4: Simplify right side
    487,678x = 200,653,852,959.17
  5. Step 5: Solve for x
    x = 200,653,852,959.17/487,678
  6. Step 6: Final answer
    x = 411,447.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.