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Finding the Fourth Proportional to 402,807.27, 604,375.11 and 258,874.32

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Solution

The fourth proportional to 402,807.27, 604,375.11 and 258,874.32 is: 388,417.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,807.27 : 604,375.11 = 258,874.32 : x
  2. Step 2: Convert to fraction form
    402,807.27/604,375.11 = 258,874.32/x
  3. Step 3: Cross multiply
    402,807.27x = 604,375.11 × 258,874.32
  4. Step 4: Simplify right side
    402,807.27x = 156,457,195,626.18
  5. Step 5: Solve for x
    x = 156,457,195,626.18/402,807.27
  6. Step 6: Final answer
    x = 388,417.01

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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.