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Finding the Fourth Proportional to 514,813.83, 772,225.31 and 211,374.87

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Solution

The fourth proportional to 514,813.83, 772,225.31 and 211,374.87 is: 317,064.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,813.83 : 772,225.31 = 211,374.87 : x
  2. Step 2: Convert to fraction form
    514,813.83/772,225.31 = 211,374.87/x
  3. Step 3: Cross multiply
    514,813.83x = 772,225.31 × 211,374.87
  4. Step 4: Simplify right side
    514,813.83x = 163,229,023,455.09
  5. Step 5: Solve for x
    x = 163,229,023,455.09/514,813.83
  6. Step 6: Final answer
    x = 317,064.18

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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.