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Finding the Fourth Proportional to 514,659.68, 771,983.93 and 210,986.11

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Solution

The fourth proportional to 514,659.68, 771,983.93 and 210,986.11 is: 316,476.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,659.68 : 771,983.93 = 210,986.11 : x
  2. Step 2: Convert to fraction form
    514,659.68/771,983.93 = 210,986.11/x
  3. Step 3: Cross multiply
    514,659.68x = 771,983.93 × 210,986.11
  4. Step 4: Simplify right side
    514,659.68x = 162,877,883,388.32
  5. Step 5: Solve for x
    x = 162,877,883,388.32/514,659.68
  6. Step 6: Final answer
    x = 316,476.87

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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.