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Finding the Fourth Proportional to 456,045.12, 683,400.24 and 256,754.34

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Solution

The fourth proportional to 456,045.12, 683,400.24 and 256,754.34 is: 384,755.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,045.12 : 683,400.24 = 256,754.34 : x
  2. Step 2: Convert to fraction form
    456,045.12/683,400.24 = 256,754.34/x
  3. Step 3: Cross multiply
    456,045.12x = 683,400.24 × 256,754.34
  4. Step 4: Simplify right side
    456,045.12x = 175,465,977,577.04
  5. Step 5: Solve for x
    x = 175,465,977,577.04/456,045.12
  6. Step 6: Final answer
    x = 384,755.74

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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.