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Finding the Fourth Proportional to 460,914.04, 636,064.32 and 256,978

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Solution

The fourth proportional to 460,914.04, 636,064.32 and 256,978 is: 354,631.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,914.04 : 636,064.32 = 256,978 : x
  2. Step 2: Convert to fraction form
    460,914.04/636,064.32 = 256,978/x
  3. Step 3: Cross multiply
    460,914.04x = 636,064.32 × 256,978
  4. Step 4: Simplify right side
    460,914.04x = 163,454,536,824.96
  5. Step 5: Solve for x
    x = 163,454,536,824.96/460,914.04
  6. Step 6: Final answer
    x = 354,631.28

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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.