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Finding the Fourth Proportional to 306,649.16, 459,971.58 and 85,033.16

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Solution

The fourth proportional to 306,649.16, 459,971.58 and 85,033.16 is: 127,549.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,649.16 : 459,971.58 = 85,033.16 : x
  2. Step 2: Convert to fraction form
    306,649.16/459,971.58 = 85,033.16/x
  3. Step 3: Cross multiply
    306,649.16x = 459,971.58 × 85,033.16
  4. Step 4: Simplify right side
    306,649.16x = 39,112,836,957.59
  5. Step 5: Solve for x
    x = 39,112,836,957.59/306,649.16
  6. Step 6: Final answer
    x = 127,549.14

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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.