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Finding the Fourth Proportional to 458,897.32, 633,274.50 and 257,689

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Solution

The fourth proportional to 458,897.32, 633,274.50 and 257,689 is: 355,608.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,897.32 : 633,274.50 = 257,689 : x
  2. Step 2: Convert to fraction form
    458,897.32/633,274.50 = 257,689/x
  3. Step 3: Cross multiply
    458,897.32x = 633,274.50 × 257,689
  4. Step 4: Simplify right side
    458,897.32x = 163,187,872,630.50
  5. Step 5: Solve for x
    x = 163,187,872,630.50/458,897.32
  6. Step 6: Final answer
    x = 355,608.69

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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.