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Finding the Fourth Proportional to 647,648.60, 893,733.20 and 357,271.78

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Solution

The fourth proportional to 647,648.60, 893,733.20 and 357,271.78 is: 493,022.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,648.60 : 893,733.20 = 357,271.78 : x
  2. Step 2: Convert to fraction form
    647,648.60/893,733.20 = 357,271.78/x
  3. Step 3: Cross multiply
    647,648.60x = 893,733.20 × 357,271.78
  4. Step 4: Simplify right side
    647,648.60x = 319,305,651,209.10
  5. Step 5: Solve for x
    x = 319,305,651,209.10/647,648.60
  6. Step 6: Final answer
    x = 493,022.99

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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.