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Finding the Fourth Proportional to 686,854.86, 947,862.48 and 380,959.80

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Solution

The fourth proportional to 686,854.86, 947,862.48 and 380,959.80 is: 525,726.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,854.86 : 947,862.48 = 380,959.80 : x
  2. Step 2: Convert to fraction form
    686,854.86/947,862.48 = 380,959.80/x
  3. Step 3: Cross multiply
    686,854.86x = 947,862.48 × 380,959.80
  4. Step 4: Simplify right side
    686,854.86x = 361,097,500,808.30
  5. Step 5: Solve for x
    x = 361,097,500,808.30/686,854.86
  6. Step 6: Final answer
    x = 525,726.06

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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.