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Finding the Fourth Proportional to 508,165.76, 762,285.76 and 171,207.04

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Solution

The fourth proportional to 508,165.76, 762,285.76 and 171,207.04 is: 256,823.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,165.76 : 762,285.76 = 171,207.04 : x
  2. Step 2: Convert to fraction form
    508,165.76/762,285.76 = 171,207.04/x
  3. Step 3: Cross multiply
    508,165.76x = 762,285.76 × 171,207.04
  4. Step 4: Simplify right side
    508,165.76x = 130,508,688,603.75
  5. Step 5: Solve for x
    x = 130,508,688,603.75/508,165.76
  6. Step 6: Final answer
    x = 256,823.07

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1.5x scale

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.