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Finding the Fourth Proportional to 315,814.95, 435,823.74 and 172,575.90

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Solution

The fourth proportional to 315,814.95, 435,823.74 and 172,575.90 is: 238,154.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,814.95 : 435,823.74 = 172,575.90 : x
  2. Step 2: Convert to fraction form
    315,814.95/435,823.74 = 172,575.90/x
  3. Step 3: Cross multiply
    315,814.95x = 435,823.74 × 172,575.90
  4. Step 4: Simplify right side
    315,814.95x = 75,212,674,171.87
  5. Step 5: Solve for x
    x = 75,212,674,171.87/315,814.95
  6. Step 6: Final answer
    x = 238,154.26

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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.