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Finding the Fourth Proportional to 499,643.53, 749,095.93 and 259,412.51

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Solution

The fourth proportional to 499,643.53, 749,095.93 and 259,412.51 is: 388,926.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,643.53 : 749,095.93 = 259,412.51 : x
  2. Step 2: Convert to fraction form
    499,643.53/749,095.93 = 259,412.51/x
  3. Step 3: Cross multiply
    499,643.53x = 749,095.93 × 259,412.51
  4. Step 4: Simplify right side
    499,643.53x = 194,324,854,135.02
  5. Step 5: Solve for x
    x = 194,324,854,135.02/499,643.53
  6. Step 6: Final answer
    x = 388,926.99

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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.