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Finding the Fourth Proportional to 515,482.83, 711,370.17 and 286,041.02

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Solution

The fourth proportional to 515,482.83, 711,370.17 and 286,041.02 is: 394,738.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,482.83 : 711,370.17 = 286,041.02 : x
  2. Step 2: Convert to fraction form
    515,482.83/711,370.17 = 286,041.02/x
  3. Step 3: Cross multiply
    515,482.83x = 711,370.17 × 286,041.02
  4. Step 4: Simplify right side
    515,482.83x = 203,481,045,467.52
  5. Step 5: Solve for x
    x = 203,481,045,467.52/515,482.83
  6. Step 6: Final answer
    x = 394,738.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.