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Finding the Fourth Proportional to 456,122.90, 684,119.55 and 156,617.30

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Solution

The fourth proportional to 456,122.90, 684,119.55 and 156,617.30 is: 234,903.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,122.90 : 684,119.55 = 156,617.30 : x
  2. Step 2: Convert to fraction form
    456,122.90/684,119.55 = 156,617.30/x
  3. Step 3: Cross multiply
    456,122.90x = 684,119.55 × 156,617.30
  4. Step 4: Simplify right side
    456,122.90x = 107,144,956,798.22
  5. Step 5: Solve for x
    x = 107,144,956,798.22/456,122.90
  6. Step 6: Final answer
    x = 234,903.70

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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.