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Finding the Fourth Proportional to 315,296.58, 435,118.47 and 172,065.84

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Solution

The fourth proportional to 315,296.58, 435,118.47 and 172,065.84 is: 237,455.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,296.58 : 435,118.47 = 172,065.84 : x
  2. Step 2: Convert to fraction form
    315,296.58/435,118.47 = 172,065.84/x
  3. Step 3: Cross multiply
    315,296.58x = 435,118.47 × 172,065.84
  4. Step 4: Simplify right side
    315,296.58x = 74,869,025,040.06
  5. Step 5: Solve for x
    x = 74,869,025,040.06/315,296.58
  6. Step 6: Final answer
    x = 237,455.87

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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.