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Finding the Fourth Proportional to 279,970.90, 419,956.35 and 153,562.30

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Solution

The fourth proportional to 279,970.90, 419,956.35 and 153,562.30 is: 230,343.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,970.90 : 419,956.35 = 153,562.30 : x
  2. Step 2: Convert to fraction form
    279,970.90/419,956.35 = 153,562.30/x
  3. Step 3: Cross multiply
    279,970.90x = 419,956.35 × 153,562.30
  4. Step 4: Simplify right side
    279,970.90x = 64,489,463,005.61
  5. Step 5: Solve for x
    x = 64,489,463,005.61/279,970.90
  6. Step 6: Final answer
    x = 230,343.45

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1.5x scale

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.