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Finding the Fourth Proportional to 459,010, 633,493.20 and 257,806

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Solution

The fourth proportional to 459,010, 633,493.20 and 257,806 is: 355,805.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,010 : 633,493.20 = 257,806 : x
  2. Step 2: Convert to fraction form
    459,010/633,493.20 = 257,806/x
  3. Step 3: Cross multiply
    459,010x = 633,493.20 × 257,806
  4. Step 4: Simplify right side
    459,010x = 163,318,347,919.20
  5. Step 5: Solve for x
    x = 163,318,347,919.20/459,010
  6. Step 6: Final answer
    x = 355,805.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.