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Finding the Fourth Proportional to 480,957.07, 721,428.31 and 165,416.71

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Solution

The fourth proportional to 480,957.07, 721,428.31 and 165,416.71 is: 248,122.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,957.07 : 721,428.31 = 165,416.71 : x
  2. Step 2: Convert to fraction form
    480,957.07/721,428.31 = 165,416.71/x
  3. Step 3: Cross multiply
    480,957.07x = 721,428.31 × 165,416.71
  4. Step 4: Simplify right side
    480,957.07x = 119,336,297,541.06
  5. Step 5: Solve for x
    x = 119,336,297,541.06/480,957.07
  6. Step 6: Final answer
    x = 248,122.56

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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.