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Finding the Fourth Proportional to 286,590.16, 429,074.16 and 219,044.80

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Solution

The fourth proportional to 286,590.16, 429,074.16 and 219,044.80 is: 327,947.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,590.16 : 429,074.16 = 219,044.80 : x
  2. Step 2: Convert to fraction form
    286,590.16/429,074.16 = 219,044.80/x
  3. Step 3: Cross multiply
    286,590.16x = 429,074.16 × 219,044.80
  4. Step 4: Simplify right side
    286,590.16x = 93,986,463,562.37
  5. Step 5: Solve for x
    x = 93,986,463,562.37/286,590.16
  6. Step 6: Final answer
    x = 327,947.28

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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.