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Finding the Fourth Proportional to 287,445.34, 431,147.94 and 107,496.52

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Solution

The fourth proportional to 287,445.34, 431,147.94 and 107,496.52 is: 161,237.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,445.34 : 431,147.94 = 107,496.52 : x
  2. Step 2: Convert to fraction form
    287,445.34/431,147.94 = 107,496.52/x
  3. Step 3: Cross multiply
    287,445.34x = 431,147.94 × 107,496.52
  4. Step 4: Simplify right side
    287,445.34x = 46,346,903,155.17
  5. Step 5: Solve for x
    x = 46,346,903,155.17/287,445.34
  6. Step 6: Final answer
    x = 161,237.27

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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.