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Finding the Fourth Proportional to 380,060.06, 524,482.92 and 207,978.05

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Solution

The fourth proportional to 380,060.06, 524,482.92 and 207,978.05 is: 287,009.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,060.06 : 524,482.92 = 207,978.05 : x
  2. Step 2: Convert to fraction form
    380,060.06/524,482.92 = 207,978.05/x
  3. Step 3: Cross multiply
    380,060.06x = 524,482.92 × 207,978.05
  4. Step 4: Simplify right side
    380,060.06x = 109,080,934,959.91
  5. Step 5: Solve for x
    x = 109,080,934,959.91/380,060.06
  6. Step 6: Final answer
    x = 287,009.73

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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.