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Finding the Fourth Proportional to 549,978.91, 824,972.01 and 213,056.98

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Solution

The fourth proportional to 549,978.91, 824,972.01 and 213,056.98 is: 319,586.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,978.91 : 824,972.01 = 213,056.98 : x
  2. Step 2: Convert to fraction form
    549,978.91/824,972.01 = 213,056.98/x
  3. Step 3: Cross multiply
    549,978.91x = 824,972.01 × 213,056.98
  4. Step 4: Simplify right side
    549,978.91x = 175,766,039,844.99
  5. Step 5: Solve for x
    x = 175,766,039,844.99/549,978.91
  6. Step 6: Final answer
    x = 319,586.88

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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.