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Finding the Fourth Proportional to 315,430.75, 473,146.15 and 251,953.68

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Solution

The fourth proportional to 315,430.75, 473,146.15 and 251,953.68 is: 377,930.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,430.75 : 473,146.15 = 251,953.68 : x
  2. Step 2: Convert to fraction form
    315,430.75/473,146.15 = 251,953.68/x
  3. Step 3: Cross multiply
    315,430.75x = 473,146.15 × 251,953.68
  4. Step 4: Simplify right side
    315,430.75x = 119,210,913,670.33
  5. Step 5: Solve for x
    x = 119,210,913,670.33/315,430.75
  6. Step 6: Final answer
    x = 377,930.54

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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.