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Finding the Fourth Proportional to 511,411.13, 768,798.40 and 474,417.80

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Solution

The fourth proportional to 511,411.13, 768,798.40 and 474,417.80 is: 713,186.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,411.13 : 768,798.40 = 474,417.80 : x
  2. Step 2: Convert to fraction form
    511,411.13/768,798.40 = 474,417.80/x
  3. Step 3: Cross multiply
    511,411.13x = 768,798.40 × 474,417.80
  4. Step 4: Simplify right side
    511,411.13x = 364,731,645,571.52
  5. Step 5: Solve for x
    x = 364,731,645,571.52/511,411.13
  6. Step 6: Final answer
    x = 713,186.76

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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.