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Finding the Fourth Proportional to 315,172.47, 434,937.41 and 171,932.47

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Solution

The fourth proportional to 315,172.47, 434,937.41 and 171,932.47 is: 237,266.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,172.47 : 434,937.41 = 171,932.47 : x
  2. Step 2: Convert to fraction form
    315,172.47/434,937.41 = 171,932.47/x
  3. Step 3: Cross multiply
    315,172.47x = 434,937.41 × 171,932.47
  4. Step 4: Simplify right side
    315,172.47x = 74,779,862,337.04
  5. Step 5: Solve for x
    x = 74,779,862,337.04/315,172.47
  6. Step 6: Final answer
    x = 237,266.48

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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.