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Finding the Fourth Proportional to 315,533.48, 435,419.22 and 172,291.40

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Solution

The fourth proportional to 315,533.48, 435,419.22 and 172,291.40 is: 237,752.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,533.48 : 435,419.22 = 172,291.40 : x
  2. Step 2: Convert to fraction form
    315,533.48/435,419.22 = 172,291.40/x
  3. Step 3: Cross multiply
    315,533.48x = 435,419.22 × 172,291.40
  4. Step 4: Simplify right side
    315,533.48x = 75,018,987,000.71
  5. Step 5: Solve for x
    x = 75,018,987,000.71/315,533.48
  6. Step 6: Final answer
    x = 237,752.86

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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.