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Finding the Fourth Proportional to 309,448.65, 464,197.58 and 131,957.20

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Solution

The fourth proportional to 309,448.65, 464,197.58 and 131,957.20 is: 197,946.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,448.65 : 464,197.58 = 131,957.20 : x
  2. Step 2: Convert to fraction form
    309,448.65/464,197.58 = 131,957.20/x
  3. Step 3: Cross multiply
    309,448.65x = 464,197.58 × 131,957.20
  4. Step 4: Simplify right side
    309,448.65x = 61,254,214,061.14
  5. Step 5: Solve for x
    x = 61,254,214,061.14/309,448.65
  6. Step 6: Final answer
    x = 197,946.29

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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.