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Finding the Fourth Proportional to 478,038.56, 717,057.90 and 158,104.55

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Solution

The fourth proportional to 478,038.56, 717,057.90 and 158,104.55 is: 237,156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,038.56 : 717,057.90 = 158,104.55 : x
  2. Step 2: Convert to fraction form
    478,038.56/717,057.90 = 158,104.55/x
  3. Step 3: Cross multiply
    478,038.56x = 717,057.90 × 158,104.55
  4. Step 4: Simplify right side
    478,038.56x = 113,370,116,603.45
  5. Step 5: Solve for x
    x = 113,370,116,603.45/478,038.56
  6. Step 6: Final answer
    x = 237,156.84

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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.