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Finding the Fourth Proportional to 397,972.80, 596,570.40 and 355,982.40

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Solution

The fourth proportional to 397,972.80, 596,570.40 and 355,982.40 is: 533,625.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,972.80 : 596,570.40 = 355,982.40 : x
  2. Step 2: Convert to fraction form
    397,972.80/596,570.40 = 355,982.40/x
  3. Step 3: Cross multiply
    397,972.80x = 596,570.40 × 355,982.40
  4. Step 4: Simplify right side
    397,972.80x = 212,368,562,760.96
  5. Step 5: Solve for x
    x = 212,368,562,760.96/397,972.80
  6. Step 6: Final answer
    x = 533,625.82

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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.