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Finding the Fourth Proportional to 409,019.51, 613,809.53 and 142,780.07

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Solution

The fourth proportional to 409,019.51, 613,809.53 and 142,780.07 is: 214,267.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,019.51 : 613,809.53 = 142,780.07 : x
  2. Step 2: Convert to fraction form
    409,019.51/613,809.53 = 142,780.07/x
  3. Step 3: Cross multiply
    409,019.51x = 613,809.53 × 142,780.07
  4. Step 4: Simplify right side
    409,019.51x = 87,639,763,877.12
  5. Step 5: Solve for x
    x = 87,639,763,877.12/409,019.51
  6. Step 6: Final answer
    x = 214,267.93

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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.