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Finding the Fourth Proportional to 452,775.66, 678,246.24 and 209,270.82

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Solution

The fourth proportional to 452,775.66, 678,246.24 and 209,270.82 is: 313,482.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,775.66 : 678,246.24 = 209,270.82 : x
  2. Step 2: Convert to fraction form
    452,775.66/678,246.24 = 209,270.82/x
  3. Step 3: Cross multiply
    452,775.66x = 678,246.24 × 209,270.82
  4. Step 4: Simplify right side
    452,775.66x = 141,937,146,806.72
  5. Step 5: Solve for x
    x = 141,937,146,806.72/452,775.66
  6. Step 6: Final answer
    x = 313,482.28

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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.