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Finding the Fourth Proportional to 459,458.82, 688,738.23 and 257,153.72

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Solution

The fourth proportional to 459,458.82, 688,738.23 and 257,153.72 is: 385,478.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,458.82 : 688,738.23 = 257,153.72 : x
  2. Step 2: Convert to fraction form
    459,458.82/688,738.23 = 257,153.72/x
  3. Step 3: Cross multiply
    459,458.82x = 688,738.23 × 257,153.72
  4. Step 4: Simplify right side
    459,458.82x = 177,111,594,507.02
  5. Step 5: Solve for x
    x = 177,111,594,507.02/459,458.82
  6. Step 6: Final answer
    x = 385,478.71

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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.