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Finding the Fourth Proportional to 478,136.32, 716,997.12 and 162,508.48

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Solution

The fourth proportional to 478,136.32, 716,997.12 and 162,508.48 is: 243,692.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,136.32 : 716,997.12 = 162,508.48 : x
  2. Step 2: Convert to fraction form
    478,136.32/716,997.12 = 162,508.48/x
  3. Step 3: Cross multiply
    478,136.32x = 716,997.12 × 162,508.48
  4. Step 4: Simplify right side
    478,136.32x = 116,518,112,135.58
  5. Step 5: Solve for x
    x = 116,518,112,135.58/478,136.32
  6. Step 6: Final answer
    x = 243,692.24

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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.