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Finding the Fourth Proportional to 287,057.84, 430,602.24 and 87,384.56

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Solution

The fourth proportional to 287,057.84, 430,602.24 and 87,384.56 is: 131,081.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,057.84 : 430,602.24 = 87,384.56 : x
  2. Step 2: Convert to fraction form
    287,057.84/430,602.24 = 87,384.56/x
  3. Step 3: Cross multiply
    287,057.84x = 430,602.24 × 87,384.56
  4. Step 4: Simplify right side
    287,057.84x = 37,627,987,277.41
  5. Step 5: Solve for x
    x = 37,627,987,277.41/287,057.84
  6. Step 6: Final answer
    x = 131,081.55

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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.