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Finding the Fourth Proportional to 518,813.55, 715,853.82 and 314,971.80

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Solution

The fourth proportional to 518,813.55, 715,853.82 and 314,971.80 is: 434,594.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,813.55 : 715,853.82 = 314,971.80 : x
  2. Step 2: Convert to fraction form
    518,813.55/715,853.82 = 314,971.80/x
  3. Step 3: Cross multiply
    518,813.55x = 715,853.82 × 314,971.80
  4. Step 4: Simplify right side
    518,813.55x = 225,473,766,222.28
  5. Step 5: Solve for x
    x = 225,473,766,222.28/518,813.55
  6. Step 6: Final answer
    x = 434,594.98

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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.