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Finding the Fourth Proportional to 442,009.53, 609,975.59 and 258,258.88

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Solution

The fourth proportional to 442,009.53, 609,975.59 and 258,258.88 is: 356,398.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,009.53 : 609,975.59 = 258,258.88 : x
  2. Step 2: Convert to fraction form
    442,009.53/609,975.59 = 258,258.88/x
  3. Step 3: Cross multiply
    442,009.53x = 609,975.59 × 258,258.88
  4. Step 4: Simplify right side
    442,009.53x = 157,531,612,171.91
  5. Step 5: Solve for x
    x = 157,531,612,171.91/442,009.53
  6. Step 6: Final answer
    x = 356,398.68

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1.5x scale

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.