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Finding the Fourth Proportional to 438,019.63, 656,746.96 and 171,807.06

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Solution

The fourth proportional to 438,019.63, 656,746.96 and 171,807.06 is: 257,599.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,019.63 : 656,746.96 = 171,807.06 : x
  2. Step 2: Convert to fraction form
    438,019.63/656,746.96 = 171,807.06/x
  3. Step 3: Cross multiply
    438,019.63x = 656,746.96 × 171,807.06
  4. Step 4: Simplify right side
    438,019.63x = 112,833,760,648.29
  5. Step 5: Solve for x
    x = 112,833,760,648.29/438,019.63
  6. Step 6: Final answer
    x = 257,599.78

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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.