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Finding the Fourth Proportional to 398,588.47, 597,217.03 and 280,047.60

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Solution

The fourth proportional to 398,588.47, 597,217.03 and 280,047.60 is: 419,603.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,588.47 : 597,217.03 = 280,047.60 : x
  2. Step 2: Convert to fraction form
    398,588.47/597,217.03 = 280,047.60/x
  3. Step 3: Cross multiply
    398,588.47x = 597,217.03 × 280,047.60
  4. Step 4: Simplify right side
    398,588.47x = 167,249,195,230.51
  5. Step 5: Solve for x
    x = 167,249,195,230.51/398,588.47
  6. Step 6: Final answer
    x = 419,603.70

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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.