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Finding the Fourth Proportional to 459,405.60, 689,108.40 and 143,959.20

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Solution

The fourth proportional to 459,405.60, 689,108.40 and 143,959.20 is: 215,938.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,405.60 : 689,108.40 = 143,959.20 : x
  2. Step 2: Convert to fraction form
    459,405.60/689,108.40 = 143,959.20/x
  3. Step 3: Cross multiply
    459,405.60x = 689,108.40 × 143,959.20
  4. Step 4: Simplify right side
    459,405.60x = 99,203,493,977.28
  5. Step 5: Solve for x
    x = 99,203,493,977.28/459,405.60
  6. Step 6: Final answer
    x = 215,938.80

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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.