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Finding the Fourth Proportional to 402,232.98, 554,626.63 and 256,847.60

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Solution

The fourth proportional to 402,232.98, 554,626.63 and 256,847.60 is: 354,159.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,232.98 : 554,626.63 = 256,847.60 : x
  2. Step 2: Convert to fraction form
    402,232.98/554,626.63 = 256,847.60/x
  3. Step 3: Cross multiply
    402,232.98x = 554,626.63 × 256,847.60
  4. Step 4: Simplify right side
    402,232.98x = 142,454,518,811.59
  5. Step 5: Solve for x
    x = 142,454,518,811.59/402,232.98
  6. Step 6: Final answer
    x = 354,159.22

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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.