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Finding the Fourth Proportional to 774,978.90, 1,162,490.16 and 214,013.40

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Solution

The fourth proportional to 774,978.90, 1,162,490.16 and 214,013.40 is: 321,026.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,978.90 : 1,162,490.16 = 214,013.40 : x
  2. Step 2: Convert to fraction form
    774,978.90/1,162,490.16 = 214,013.40/x
  3. Step 3: Cross multiply
    774,978.90x = 1,162,490.16 × 214,013.40
  4. Step 4: Simplify right side
    774,978.90x = 248,788,471,608.14
  5. Step 5: Solve for x
    x = 248,788,471,608.14/774,978.90
  6. Step 6: Final answer
    x = 321,026.12

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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.