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Finding the Fourth Proportional to 306,264.48, 459,360.27 and 81,641.76

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Solution

The fourth proportional to 306,264.48, 459,360.27 and 81,641.76 is: 122,452.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,264.48 : 459,360.27 = 81,641.76 : x
  2. Step 2: Convert to fraction form
    306,264.48/459,360.27 = 81,641.76/x
  3. Step 3: Cross multiply
    306,264.48x = 459,360.27 × 81,641.76
  4. Step 4: Simplify right side
    306,264.48x = 37,502,980,916.88
  5. Step 5: Solve for x
    x = 37,502,980,916.88/306,264.48
  6. Step 6: Final answer
    x = 122,452.92

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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.