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Finding the Fourth Proportional to 684,560.96, 1,026,978.32 and 211,228.52

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Solution

The fourth proportional to 684,560.96, 1,026,978.32 and 211,228.52 is: 316,885.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,560.96 : 1,026,978.32 = 211,228.52 : x
  2. Step 2: Convert to fraction form
    684,560.96/1,026,978.32 = 211,228.52/x
  3. Step 3: Cross multiply
    684,560.96x = 1,026,978.32 × 211,228.52
  4. Step 4: Simplify right side
    684,560.96x = 216,927,110,605.69
  5. Step 5: Solve for x
    x = 216,927,110,605.69/684,560.96
  6. Step 6: Final answer
    x = 316,885.02

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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.