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Finding the Fourth Proportional to 1,411,965.72, 1,948,525.47 and 767,387.43

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Solution

The fourth proportional to 1,411,965.72, 1,948,525.47 and 767,387.43 is: 1,059,001.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,965.72 : 1,948,525.47 = 767,387.43 : x
  2. Step 2: Convert to fraction form
    1,411,965.72/1,948,525.47 = 767,387.43/x
  3. Step 3: Cross multiply
    1,411,965.72x = 1,948,525.47 × 767,387.43
  4. Step 4: Simplify right side
    1,411,965.72x = 1,495,273,952,712.84
  5. Step 5: Solve for x
    x = 1,495,273,952,712.84/1,411,965.72
  6. Step 6: Final answer
    x = 1,059,001.60

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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.