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Finding the Fourth Proportional to 498,787.98, 688,080.81 and 294,740.22

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Solution

The fourth proportional to 498,787.98, 688,080.81 and 294,740.22 is: 406,595.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,787.98 : 688,080.81 = 294,740.22 : x
  2. Step 2: Convert to fraction form
    498,787.98/688,080.81 = 294,740.22/x
  3. Step 3: Cross multiply
    498,787.98x = 688,080.81 × 294,740.22
  4. Step 4: Simplify right side
    498,787.98x = 202,805,089,317.18
  5. Step 5: Solve for x
    x = 202,805,089,317.18/498,787.98
  6. Step 6: Final answer
    x = 406,595.78

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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.