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Finding the Fourth Proportional to 519,307.13, 716,646 and 280,843.13

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Solution

The fourth proportional to 519,307.13, 716,646 and 280,843.13 is: 387,564.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,307.13 : 716,646 = 280,843.13 : x
  2. Step 2: Convert to fraction form
    519,307.13/716,646 = 280,843.13/x
  3. Step 3: Cross multiply
    519,307.13x = 716,646 × 280,843.13
  4. Step 4: Simplify right side
    519,307.13x = 201,265,105,741.98
  5. Step 5: Solve for x
    x = 201,265,105,741.98/519,307.13
  6. Step 6: Final answer
    x = 387,564.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.