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Finding the Fourth Proportional to 457,994, 632,031.72 and 256,790

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Solution

The fourth proportional to 457,994, 632,031.72 and 256,790 is: 354,370.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,994 : 632,031.72 = 256,790 : x
  2. Step 2: Convert to fraction form
    457,994/632,031.72 = 256,790/x
  3. Step 3: Cross multiply
    457,994x = 632,031.72 × 256,790
  4. Step 4: Simplify right side
    457,994x = 162,299,425,378.80
  5. Step 5: Solve for x
    x = 162,299,425,378.80/457,994
  6. Step 6: Final answer
    x = 354,370.20

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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.