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Finding the Fourth Proportional to 309,060.40, 463,007.40 and 288,065.20

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Solution

The fourth proportional to 309,060.40, 463,007.40 and 288,065.20 is: 431,554.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,060.40 : 463,007.40 = 288,065.20 : x
  2. Step 2: Convert to fraction form
    309,060.40/463,007.40 = 288,065.20/x
  3. Step 3: Cross multiply
    309,060.40x = 463,007.40 × 288,065.20
  4. Step 4: Simplify right side
    309,060.40x = 133,376,319,282.48
  5. Step 5: Solve for x
    x = 133,376,319,282.48/309,060.40
  6. Step 6: Final answer
    x = 431,554.22

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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.