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Finding the Fourth Proportional to 689,711, 952,238.40 and 472,283.48

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Solution

The fourth proportional to 689,711, 952,238.40 and 472,283.48 is: 652,050.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,711 : 952,238.40 = 472,283.48 : x
  2. Step 2: Convert to fraction form
    689,711/952,238.40 = 472,283.48/x
  3. Step 3: Cross multiply
    689,711x = 952,238.40 × 472,283.48
  4. Step 4: Simplify right side
    689,711x = 449,726,465,341.63
  5. Step 5: Solve for x
    x = 449,726,465,341.63/689,711
  6. Step 6: Final answer
    x = 652,050.59

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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.