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Finding the Fourth Proportional to 459,071.77, 688,647.34 and 126,647.77

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Solution

The fourth proportional to 459,071.77, 688,647.34 and 126,647.77 is: 189,982.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,071.77 : 688,647.34 = 126,647.77 : x
  2. Step 2: Convert to fraction form
    459,071.77/688,647.34 = 126,647.77/x
  3. Step 3: Cross multiply
    459,071.77x = 688,647.34 × 126,647.77
  4. Step 4: Simplify right side
    459,071.77x = 87,215,649,294.19
  5. Step 5: Solve for x
    x = 87,215,649,294.19/459,071.77
  6. Step 6: Final answer
    x = 189,982.60

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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.