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Finding the Fourth Proportional to 540,429.93, 810,687.02 and 315,813.69

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Solution

The fourth proportional to 540,429.93, 810,687.02 and 315,813.69 is: 473,745.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,429.93 : 810,687.02 = 315,813.69 : x
  2. Step 2: Convert to fraction form
    540,429.93/810,687.02 = 315,813.69/x
  3. Step 3: Cross multiply
    540,429.93x = 810,687.02 × 315,813.69
  4. Step 4: Simplify right side
    540,429.93x = 256,026,057,642.24
  5. Step 5: Solve for x
    x = 256,026,057,642.24/540,429.93
  6. Step 6: Final answer
    x = 473,745.15

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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.