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Finding the Fourth Proportional to 632,259, 872,620.43 and 469,993.19

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Solution

The fourth proportional to 632,259, 872,620.43 and 469,993.19 is: 648,667.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,259 : 872,620.43 = 469,993.19 : x
  2. Step 2: Convert to fraction form
    632,259/872,620.43 = 469,993.19/x
  3. Step 3: Cross multiply
    632,259x = 872,620.43 × 469,993.19
  4. Step 4: Simplify right side
    632,259x = 410,125,652,841.80
  5. Step 5: Solve for x
    x = 410,125,652,841.80/632,259
  6. Step 6: Final answer
    x = 648,667.16

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1.5x scale

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.