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Finding the Fourth Proportional to 320,006.40, 480,398.40 and 162,153.60

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Solution

The fourth proportional to 320,006.40, 480,398.40 and 162,153.60 is: 243,427.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,006.40 : 480,398.40 = 162,153.60 : x
  2. Step 2: Convert to fraction form
    320,006.40/480,398.40 = 162,153.60/x
  3. Step 3: Cross multiply
    320,006.40x = 480,398.40 × 162,153.60
  4. Step 4: Simplify right side
    320,006.40x = 77,898,329,994.24
  5. Step 5: Solve for x
    x = 77,898,329,994.24/320,006.40
  6. Step 6: Final answer
    x = 243,427.41

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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.