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Finding the Fourth Proportional to 409,009.77, 613,547.46 and 142,764.39

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Solution

The fourth proportional to 409,009.77, 613,547.46 and 142,764.39 is: 214,158.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,009.77 : 613,547.46 = 142,764.39 : x
  2. Step 2: Convert to fraction form
    409,009.77/613,547.46 = 142,764.39/x
  3. Step 3: Cross multiply
    409,009.77x = 613,547.46 × 142,764.39
  4. Step 4: Simplify right side
    409,009.77x = 87,592,728,862.95
  5. Step 5: Solve for x
    x = 87,592,728,862.95/409,009.77
  6. Step 6: Final answer
    x = 214,158.04

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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.