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Finding the Fourth Proportional to 375,605.14, 518,384.73 and 214,423.78

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Solution

The fourth proportional to 375,605.14, 518,384.73 and 214,423.78 is: 295,933.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,605.14 : 518,384.73 = 214,423.78 : x
  2. Step 2: Convert to fraction form
    375,605.14/518,384.73 = 214,423.78/x
  3. Step 3: Cross multiply
    375,605.14x = 518,384.73 × 214,423.78
  4. Step 4: Simplify right side
    375,605.14x = 111,154,013,300.88
  5. Step 5: Solve for x
    x = 111,154,013,300.88/375,605.14
  6. Step 6: Final answer
    x = 295,933.15

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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.