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Finding the Fourth Proportional to 429,201.60, 643,802.48 and 113,683.20

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Solution

The fourth proportional to 429,201.60, 643,802.48 and 113,683.20 is: 170,524.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,201.60 : 643,802.48 = 113,683.20 : x
  2. Step 2: Convert to fraction form
    429,201.60/643,802.48 = 113,683.20/x
  3. Step 3: Cross multiply
    429,201.60x = 643,802.48 × 113,683.20
  4. Step 4: Simplify right side
    429,201.60x = 73,189,526,094.34
  5. Step 5: Solve for x
    x = 73,189,526,094.34/429,201.60
  6. Step 6: Final answer
    x = 170,524.82

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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.