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Finding the Fourth Proportional to 515,858.72, 710,713.98 and 399,170.95

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Solution

The fourth proportional to 515,858.72, 710,713.98 and 399,170.95 is: 549,949.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,858.72 : 710,713.98 = 399,170.95 : x
  2. Step 2: Convert to fraction form
    515,858.72/710,713.98 = 399,170.95/x
  3. Step 3: Cross multiply
    515,858.72x = 710,713.98 × 399,170.95
  4. Step 4: Simplify right side
    515,858.72x = 283,696,372,798.10
  5. Step 5: Solve for x
    x = 283,696,372,798.10/515,858.72
  6. Step 6: Final answer
    x = 549,949.75

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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.