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Finding the Fourth Proportional to 459,360.85, 689,133.25 and 257,244.38

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Solution

The fourth proportional to 459,360.85, 689,133.25 and 257,244.38 is: 385,918.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,360.85 : 689,133.25 = 257,244.38 : x
  2. Step 2: Convert to fraction form
    459,360.85/689,133.25 = 257,244.38/x
  3. Step 3: Cross multiply
    459,360.85x = 689,133.25 × 257,244.38
  4. Step 4: Simplify right side
    459,360.85x = 177,275,655,633.64
  5. Step 5: Solve for x
    x = 177,275,655,633.64/459,360.85
  6. Step 6: Final answer
    x = 385,918.08

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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.