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Finding the Fourth Proportional to 491,065.68, 736,709.34 and 149,539.66

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Solution

The fourth proportional to 491,065.68, 736,709.34 and 149,539.66 is: 224,343.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,065.68 : 736,709.34 = 149,539.66 : x
  2. Step 2: Convert to fraction form
    491,065.68/736,709.34 = 149,539.66/x
  3. Step 3: Cross multiply
    491,065.68x = 736,709.34 × 149,539.66
  4. Step 4: Simplify right side
    491,065.68x = 110,167,264,222.42
  5. Step 5: Solve for x
    x = 110,167,264,222.42/491,065.68
  6. Step 6: Final answer
    x = 224,343.24

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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.