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Finding the Fourth Proportional to 287,494, 430,670.56 and 135,482.92

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Solution

The fourth proportional to 287,494, 430,670.56 and 135,482.92 is: 202,955.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,494 : 430,670.56 = 135,482.92 : x
  2. Step 2: Convert to fraction form
    287,494/430,670.56 = 135,482.92/x
  3. Step 3: Cross multiply
    287,494x = 430,670.56 × 135,482.92
  4. Step 4: Simplify right side
    287,494x = 58,348,505,026.84
  5. Step 5: Solve for x
    x = 58,348,505,026.84/287,494
  6. Step 6: Final answer
    x = 202,955.56

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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.