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Finding the Fourth Proportional to 309,088.80, 463,940.40 and 151,495.20

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Solution

The fourth proportional to 309,088.80, 463,940.40 and 151,495.20 is: 227,393.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,088.80 : 463,940.40 = 151,495.20 : x
  2. Step 2: Convert to fraction form
    309,088.80/463,940.40 = 151,495.20/x
  3. Step 3: Cross multiply
    309,088.80x = 463,940.40 × 151,495.20
  4. Step 4: Simplify right side
    309,088.80x = 70,284,743,686.08
  5. Step 5: Solve for x
    x = 70,284,743,686.08/309,088.80
  6. Step 6: Final answer
    x = 227,393.37

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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.