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Finding the Fourth Proportional to 210,412.30, 290,368.51 and 114,919.00

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Solution

The fourth proportional to 210,412.30, 290,368.51 and 114,919.00 is: 158,587.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,412.30 : 290,368.51 = 114,919.00 : x
  2. Step 2: Convert to fraction form
    210,412.30/290,368.51 = 114,919.00/x
  3. Step 3: Cross multiply
    210,412.30x = 290,368.51 × 114,919.00
  4. Step 4: Simplify right side
    210,412.30x = 33,368,857,787.47
  5. Step 5: Solve for x
    x = 33,368,857,787.47/210,412.30
  6. Step 6: Final answer
    x = 158,587.96

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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.