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Finding the Fourth Proportional to 568,218.16, 784,145.64 and 310,097.14

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Solution

The fourth proportional to 568,218.16, 784,145.64 and 310,097.14 is: 427,936.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,218.16 : 784,145.64 = 310,097.14 : x
  2. Step 2: Convert to fraction form
    568,218.16/784,145.64 = 310,097.14/x
  3. Step 3: Cross multiply
    568,218.16x = 784,145.64 × 310,097.14
  4. Step 4: Simplify right side
    568,218.16x = 243,161,320,307.47
  5. Step 5: Solve for x
    x = 243,161,320,307.47/568,218.16
  6. Step 6: Final answer
    x = 427,936.55

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1.5x scale

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.