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Finding the Fourth Proportional to 279,888.62, 420,009.71 and 146,864.34

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Solution

The fourth proportional to 279,888.62, 420,009.71 and 146,864.34 is: 220,389.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,888.62 : 420,009.71 = 146,864.34 : x
  2. Step 2: Convert to fraction form
    279,888.62/420,009.71 = 146,864.34/x
  3. Step 3: Cross multiply
    279,888.62x = 420,009.71 × 146,864.34
  4. Step 4: Simplify right side
    279,888.62x = 61,684,448,118.42
  5. Step 5: Solve for x
    x = 61,684,448,118.42/279,888.62
  6. Step 6: Final answer
    x = 220,389.27

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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.