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Finding the Fourth Proportional to 632,564.78, 872,952 and 346,091.02

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Solution

The fourth proportional to 632,564.78, 872,952 and 346,091.02 is: 477,612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,564.78 : 872,952 = 346,091.02 : x
  2. Step 2: Convert to fraction form
    632,564.78/872,952 = 346,091.02/x
  3. Step 3: Cross multiply
    632,564.78x = 872,952 × 346,091.02
  4. Step 4: Simplify right side
    632,564.78x = 302,120,848,091.04
  5. Step 5: Solve for x
    x = 302,120,848,091.04/632,564.78
  6. Step 6: Final answer
    x = 477,612.50

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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.