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Finding the Fourth Proportional to 478,528.56, 717,574.14 and 178,789.32

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Solution

The fourth proportional to 478,528.56, 717,574.14 and 178,789.32 is: 268,102.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,528.56 : 717,574.14 = 178,789.32 : x
  2. Step 2: Convert to fraction form
    478,528.56/717,574.14 = 178,789.32/x
  3. Step 3: Cross multiply
    478,528.56x = 717,574.14 × 178,789.32
  4. Step 4: Simplify right side
    478,528.56x = 128,294,592,540.19
  5. Step 5: Solve for x
    x = 128,294,592,540.19/478,528.56
  6. Step 6: Final answer
    x = 268,102.27

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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.