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Finding the Fourth Proportional to 323,946.14, 485,886.33 and 87,312.74

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Solution

The fourth proportional to 323,946.14, 485,886.33 and 87,312.74 is: 130,960.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,946.14 : 485,886.33 = 87,312.74 : x
  2. Step 2: Convert to fraction form
    323,946.14/485,886.33 = 87,312.74/x
  3. Step 3: Cross multiply
    323,946.14x = 485,886.33 × 87,312.74
  4. Step 4: Simplify right side
    323,946.14x = 42,424,064,371.41
  5. Step 5: Solve for x
    x = 42,424,064,371.41/323,946.14
  6. Step 6: Final answer
    x = 130,960.24

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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.