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Finding the Fourth Proportional to 287,848, 431,558.76 and 137,945.55

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Solution

The fourth proportional to 287,848, 431,558.76 and 137,945.55 is: 206,816.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,848 : 431,558.76 = 137,945.55 : x
  2. Step 2: Convert to fraction form
    287,848/431,558.76 = 137,945.55/x
  3. Step 3: Cross multiply
    287,848x = 431,558.76 × 137,945.55
  4. Step 4: Simplify right side
    287,848x = 59,531,611,929.28
  5. Step 5: Solve for x
    x = 59,531,611,929.28/287,848
  6. Step 6: Final answer
    x = 206,816.14

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1.5x scale

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.