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Finding the Fourth Proportional to 459,207.96, 688,810.98 and 126,783

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Solution

The fourth proportional to 459,207.96, 688,810.98 and 126,783 is: 190,174.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,207.96 : 688,810.98 = 126,783 : x
  2. Step 2: Convert to fraction form
    459,207.96/688,810.98 = 126,783/x
  3. Step 3: Cross multiply
    459,207.96x = 688,810.98 × 126,783
  4. Step 4: Simplify right side
    459,207.96x = 87,329,522,477.34
  5. Step 5: Solve for x
    x = 87,329,522,477.34/459,207.96
  6. Step 6: Final answer
    x = 190,174.23

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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.