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Finding the Fourth Proportional to 861,315, 1,291,983.44 and 300,349.50

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Solution

The fourth proportional to 861,315, 1,291,983.44 and 300,349.50 is: 450,528.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,315 : 1,291,983.44 = 300,349.50 : x
  2. Step 2: Convert to fraction form
    861,315/1,291,983.44 = 300,349.50/x
  3. Step 3: Cross multiply
    861,315x = 1,291,983.44 × 300,349.50
  4. Step 4: Simplify right side
    861,315x = 388,046,578,710.53
  5. Step 5: Solve for x
    x = 388,046,578,710.53/861,315
  6. Step 6: Final answer
    x = 450,528.06

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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.