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Finding the Fourth Proportional to 477,322.20, 715,983.30 and 412,368.30

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Solution

The fourth proportional to 477,322.20, 715,983.30 and 412,368.30 is: 618,552.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,322.20 : 715,983.30 = 412,368.30 : x
  2. Step 2: Convert to fraction form
    477,322.20/715,983.30 = 412,368.30/x
  3. Step 3: Cross multiply
    477,322.20x = 715,983.30 × 412,368.30
  4. Step 4: Simplify right side
    477,322.20x = 295,248,816,249.39
  5. Step 5: Solve for x
    x = 295,248,816,249.39/477,322.20
  6. Step 6: Final answer
    x = 618,552.45

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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.