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Finding the Fourth Proportional to 400,780.44, 553,077.72 and 217,021.01

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Solution

The fourth proportional to 400,780.44, 553,077.72 and 217,021.01 is: 299,489.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,780.44 : 553,077.72 = 217,021.01 : x
  2. Step 2: Convert to fraction form
    400,780.44/553,077.72 = 217,021.01/x
  3. Step 3: Cross multiply
    400,780.44x = 553,077.72 × 217,021.01
  4. Step 4: Simplify right side
    400,780.44x = 120,029,482,637.51
  5. Step 5: Solve for x
    x = 120,029,482,637.51/400,780.44
  6. Step 6: Final answer
    x = 299,489.37

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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.