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Finding the Fourth Proportional to 343,811.90, 515,717.85 and 314,263.10

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Solution

The fourth proportional to 343,811.90, 515,717.85 and 314,263.10 is: 471,394.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,811.90 : 515,717.85 = 314,263.10 : x
  2. Step 2: Convert to fraction form
    343,811.90/515,717.85 = 314,263.10/x
  3. Step 3: Cross multiply
    343,811.90x = 515,717.85 × 314,263.10
  4. Step 4: Simplify right side
    343,811.90x = 162,071,090,266.34
  5. Step 5: Solve for x
    x = 162,071,090,266.34/343,811.90
  6. Step 6: Final answer
    x = 471,394.65

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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.