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Finding the Fourth Proportional to 306,656, 459,984 and 85,040

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Solution

The fourth proportional to 306,656, 459,984 and 85,040 is: 127,560

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,656 : 459,984 = 85,040 : x
  2. Step 2: Convert to fraction form
    306,656/459,984 = 85,040/x
  3. Step 3: Cross multiply
    306,656x = 459,984 × 85,040
  4. Step 4: Simplify right side
    306,656x = 39,117,039,360
  5. Step 5: Solve for x
    x = 39,117,039,360/306,656
  6. Step 6: Final answer
    x = 127,560

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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.