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Finding the Fourth Proportional to 402,223.36, 603,327.21 and 162,330.88

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Solution

The fourth proportional to 402,223.36, 603,327.21 and 162,330.88 is: 243,493.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,223.36 : 603,327.21 = 162,330.88 : x
  2. Step 2: Convert to fraction form
    402,223.36/603,327.21 = 162,330.88/x
  3. Step 3: Cross multiply
    402,223.36x = 603,327.21 × 162,330.88
  4. Step 4: Simplify right side
    402,223.36x = 97,938,636,927.24
  5. Step 5: Solve for x
    x = 97,938,636,927.24/402,223.36
  6. Step 6: Final answer
    x = 243,493.16

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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.