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Finding the Fourth Proportional to 707,248.88, 976,024.20 and 384,980

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Solution

The fourth proportional to 707,248.88, 976,024.20 and 384,980 is: 531,283.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,248.88 : 976,024.20 = 384,980 : x
  2. Step 2: Convert to fraction form
    707,248.88/976,024.20 = 384,980/x
  3. Step 3: Cross multiply
    707,248.88x = 976,024.20 × 384,980
  4. Step 4: Simplify right side
    707,248.88x = 375,749,796,516
  5. Step 5: Solve for x
    x = 375,749,796,516/707,248.88
  6. Step 6: Final answer
    x = 531,283.69

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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.