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Finding the Fourth Proportional to 643,817.80, 965,726.70 and 477,929.80

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Solution

The fourth proportional to 643,817.80, 965,726.70 and 477,929.80 is: 716,894.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,817.80 : 965,726.70 = 477,929.80 : x
  2. Step 2: Convert to fraction form
    643,817.80/965,726.70 = 477,929.80/x
  3. Step 3: Cross multiply
    643,817.80x = 965,726.70 × 477,929.80
  4. Step 4: Simplify right side
    643,817.80x = 461,549,568,585.66
  5. Step 5: Solve for x
    x = 461,549,568,585.66/643,817.80
  6. Step 6: Final answer
    x = 716,894.70

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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.