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Finding the Fourth Proportional to 490,055.40, 735,083.10 and 157,631.40

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Solution

The fourth proportional to 490,055.40, 735,083.10 and 157,631.40 is: 236,447.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,055.40 : 735,083.10 = 157,631.40 : x
  2. Step 2: Convert to fraction form
    490,055.40/735,083.10 = 157,631.40/x
  3. Step 3: Cross multiply
    490,055.40x = 735,083.10 × 157,631.40
  4. Step 4: Simplify right side
    490,055.40x = 115,872,178,169.34
  5. Step 5: Solve for x
    x = 115,872,178,169.34/490,055.40
  6. Step 6: Final answer
    x = 236,447.10

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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.