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Finding the Fourth Proportional to 459,358.99, 689,130.46 and 257,242.52

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Solution

The fourth proportional to 459,358.99, 689,130.46 and 257,242.52 is: 385,915.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,358.99 : 689,130.46 = 257,242.52 : x
  2. Step 2: Convert to fraction form
    459,358.99/689,130.46 = 257,242.52/x
  3. Step 3: Cross multiply
    459,358.99x = 689,130.46 × 257,242.52
  4. Step 4: Simplify right side
    459,358.99x = 177,273,656,129.21
  5. Step 5: Solve for x
    x = 177,273,656,129.21/459,358.99
  6. Step 6: Final answer
    x = 385,915.29

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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.