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Finding the Fourth Proportional to 315,594.86, 435,501.78 and 172,325.84

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Solution

The fourth proportional to 315,594.86, 435,501.78 and 172,325.84 is: 237,799.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,594.86 : 435,501.78 = 172,325.84 : x
  2. Step 2: Convert to fraction form
    315,594.86/435,501.78 = 172,325.84/x
  3. Step 3: Cross multiply
    315,594.86x = 435,501.78 × 172,325.84
  4. Step 4: Simplify right side
    315,594.86x = 75,048,210,060.00
  5. Step 5: Solve for x
    x = 75,048,210,060.00/315,594.86
  6. Step 6: Final answer
    x = 237,799.22

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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.