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Finding the Fourth Proportional to 500,065.84, 750,326.47 and 211,956.44

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Solution

The fourth proportional to 500,065.84, 750,326.47 and 211,956.44 is: 318,031.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,065.84 : 750,326.47 = 211,956.44 : x
  2. Step 2: Convert to fraction form
    500,065.84/750,326.47 = 211,956.44/x
  3. Step 3: Cross multiply
    500,065.84x = 750,326.47 × 211,956.44
  4. Step 4: Simplify right side
    500,065.84x = 159,036,528,764.89
  5. Step 5: Solve for x
    x = 159,036,528,764.89/500,065.84
  6. Step 6: Final answer
    x = 318,031.18

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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.