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Finding the Fourth Proportional to 478,471.76, 717,683.79 and 178,930.32

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Solution

The fourth proportional to 478,471.76, 717,683.79 and 178,930.32 is: 268,386.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,471.76 : 717,683.79 = 178,930.32 : x
  2. Step 2: Convert to fraction form
    478,471.76/717,683.79 = 178,930.32/x
  3. Step 3: Cross multiply
    478,471.76x = 717,683.79 × 178,930.32
  4. Step 4: Simplify right side
    478,471.76x = 128,415,390,203.51
  5. Step 5: Solve for x
    x = 128,415,390,203.51/478,471.76
  6. Step 6: Final answer
    x = 268,386.56

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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.