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Finding the Fourth Proportional to 413,111.20, 619,666.80 and 397,364.80

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Solution

The fourth proportional to 413,111.20, 619,666.80 and 397,364.80 is: 596,047.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,111.20 : 619,666.80 = 397,364.80 : x
  2. Step 2: Convert to fraction form
    413,111.20/619,666.80 = 397,364.80/x
  3. Step 3: Cross multiply
    413,111.20x = 619,666.80 × 397,364.80
  4. Step 4: Simplify right side
    413,111.20x = 246,233,774,048.64
  5. Step 5: Solve for x
    x = 246,233,774,048.64/413,111.20
  6. Step 6: Final answer
    x = 596,047.20

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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.