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Finding the Fourth Proportional to 511,274.90, 705,612.12 and 307,392.50

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Solution

The fourth proportional to 511,274.90, 705,612.12 and 307,392.50 is: 424,233.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,274.90 : 705,612.12 = 307,392.50 : x
  2. Step 2: Convert to fraction form
    511,274.90/705,612.12 = 307,392.50/x
  3. Step 3: Cross multiply
    511,274.90x = 705,612.12 × 307,392.50
  4. Step 4: Simplify right side
    511,274.90x = 216,899,873,597.10
  5. Step 5: Solve for x
    x = 216,899,873,597.10/511,274.90
  6. Step 6: Final answer
    x = 424,233.37

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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.