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Finding the Fourth Proportional to 478,986, 718,601.04 and 142,038.96

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Solution

The fourth proportional to 478,986, 718,601.04 and 142,038.96 is: 213,094.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,986 : 718,601.04 = 142,038.96 : x
  2. Step 2: Convert to fraction form
    478,986/718,601.04 = 142,038.96/x
  3. Step 3: Cross multiply
    478,986x = 718,601.04 × 142,038.96
  4. Step 4: Simplify right side
    478,986x = 102,069,344,376.52
  5. Step 5: Solve for x
    x = 102,069,344,376.52/478,986
  6. Step 6: Final answer
    x = 213,094.63

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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.