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Finding the Fourth Proportional to 870,290.12, 1,305,498.06 and 364,342.25

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Solution

The fourth proportional to 870,290.12, 1,305,498.06 and 364,342.25 is: 546,539.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,290.12 : 1,305,498.06 = 364,342.25 : x
  2. Step 2: Convert to fraction form
    870,290.12/1,305,498.06 = 364,342.25/x
  3. Step 3: Cross multiply
    870,290.12x = 1,305,498.06 × 364,342.25
  4. Step 4: Simplify right side
    870,290.12x = 475,648,103,814.78
  5. Step 5: Solve for x
    x = 475,648,103,814.78/870,290.12
  6. Step 6: Final answer
    x = 546,539.70

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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.