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Finding the Fourth Proportional to 630,963, 946,446.53 and 157,648.41

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Solution

The fourth proportional to 630,963, 946,446.53 and 157,648.41 is: 236,473.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,963 : 946,446.53 = 157,648.41 : x
  2. Step 2: Convert to fraction form
    630,963/946,446.53 = 157,648.41/x
  3. Step 3: Cross multiply
    630,963x = 946,446.53 × 157,648.41
  4. Step 4: Simplify right side
    630,963x = 149,205,789,816.28
  5. Step 5: Solve for x
    x = 149,205,789,816.28/630,963
  6. Step 6: Final answer
    x = 236,473.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.