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Finding the Fourth Proportional to 785,216.72, 1,176,978.36 and 385,392.08

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Solution

The fourth proportional to 785,216.72, 1,176,978.36 and 385,392.08 is: 577,672.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,216.72 : 1,176,978.36 = 385,392.08 : x
  2. Step 2: Convert to fraction form
    785,216.72/1,176,978.36 = 385,392.08/x
  3. Step 3: Cross multiply
    785,216.72x = 1,176,978.36 × 385,392.08
  4. Step 4: Simplify right side
    785,216.72x = 453,598,138,275.39
  5. Step 5: Solve for x
    x = 453,598,138,275.39/785,216.72
  6. Step 6: Final answer
    x = 577,672.54

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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.