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Finding the Fourth Proportional to 457,618.94, 631,139.70 and 322,101.50

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Solution

The fourth proportional to 457,618.94, 631,139.70 and 322,101.50 is: 444,236.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,618.94 : 631,139.70 = 322,101.50 : x
  2. Step 2: Convert to fraction form
    457,618.94/631,139.70 = 322,101.50/x
  3. Step 3: Cross multiply
    457,618.94x = 631,139.70 × 322,101.50
  4. Step 4: Simplify right side
    457,618.94x = 203,291,044,079.55
  5. Step 5: Solve for x
    x = 203,291,044,079.55/457,618.94
  6. Step 6: Final answer
    x = 444,236.52

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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.