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Finding the Fourth Proportional to 437,946.75, 657,018.54 and 157,464

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Solution

The fourth proportional to 437,946.75, 657,018.54 and 157,464 is: 236,231.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,946.75 : 657,018.54 = 157,464 : x
  2. Step 2: Convert to fraction form
    437,946.75/657,018.54 = 157,464/x
  3. Step 3: Cross multiply
    437,946.75x = 657,018.54 × 157,464
  4. Step 4: Simplify right side
    437,946.75x = 103,456,767,382.56
  5. Step 5: Solve for x
    x = 103,456,767,382.56/437,946.75
  6. Step 6: Final answer
    x = 236,231.39

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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.