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Finding the Fourth Proportional to 511,415.66, 705,836.77 and 307,672.52

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Solution

The fourth proportional to 511,415.66, 705,836.77 and 307,672.52 is: 424,638.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,415.66 : 705,836.77 = 307,672.52 : x
  2. Step 2: Convert to fraction form
    511,415.66/705,836.77 = 307,672.52/x
  3. Step 3: Cross multiply
    511,415.66x = 705,836.77 × 307,672.52
  4. Step 4: Simplify right side
    511,415.66x = 217,166,573,436.20
  5. Step 5: Solve for x
    x = 217,166,573,436.20/511,415.66
  6. Step 6: Final answer
    x = 424,638.10

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1.5x scale

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.