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Finding the Fourth Proportional to 287,740.70, 431,735.43 and 154,465.32

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Solution

The fourth proportional to 287,740.70, 431,735.43 and 154,465.32 is: 231,764.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,740.70 : 431,735.43 = 154,465.32 : x
  2. Step 2: Convert to fraction form
    287,740.70/431,735.43 = 154,465.32/x
  3. Step 3: Cross multiply
    287,740.70x = 431,735.43 × 154,465.32
  4. Step 4: Simplify right side
    287,740.70x = 66,688,151,350.29
  5. Step 5: Solve for x
    x = 66,688,151,350.29/287,740.70
  6. Step 6: Final answer
    x = 231,764.75

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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.