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Finding the Fourth Proportional to 229,804.89, 317,001.23 and 137,900.40

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Solution

The fourth proportional to 229,804.89, 317,001.23 and 137,900.40 is: 190,224.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,804.89 : 317,001.23 = 137,900.40 : x
  2. Step 2: Convert to fraction form
    229,804.89/317,001.23 = 137,900.40/x
  3. Step 3: Cross multiply
    229,804.89x = 317,001.23 × 137,900.40
  4. Step 4: Simplify right side
    229,804.89x = 43,714,594,142.98
  5. Step 5: Solve for x
    x = 43,714,594,142.98/229,804.89
  6. Step 6: Final answer
    x = 190,224.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.