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Finding the Fourth Proportional to 236,431.80, 354,647.70 and 147,785.40

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Solution

The fourth proportional to 236,431.80, 354,647.70 and 147,785.40 is: 221,678.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,431.80 : 354,647.70 = 147,785.40 : x
  2. Step 2: Convert to fraction form
    236,431.80/354,647.70 = 147,785.40/x
  3. Step 3: Cross multiply
    236,431.80x = 354,647.70 × 147,785.40
  4. Step 4: Simplify right side
    236,431.80x = 52,411,752,203.58
  5. Step 5: Solve for x
    x = 52,411,752,203.58/236,431.80
  6. Step 6: Final answer
    x = 221,678.10

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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.