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Finding the Fourth Proportional to 456,731.80, 684,113.55 and 377,999.80

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Solution

The fourth proportional to 456,731.80, 684,113.55 and 377,999.80 is: 566,185.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,731.80 : 684,113.55 = 377,999.80 : x
  2. Step 2: Convert to fraction form
    456,731.80/684,113.55 = 377,999.80/x
  3. Step 3: Cross multiply
    456,731.80x = 684,113.55 × 377,999.80
  4. Step 4: Simplify right side
    456,731.80x = 258,594,785,077.29
  5. Step 5: Solve for x
    x = 258,594,785,077.29/456,731.80
  6. Step 6: Final answer
    x = 566,185.20

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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.