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Finding the Fourth Proportional to 407,477.46, 611,215.65 and 154,757.46

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Solution

The fourth proportional to 407,477.46, 611,215.65 and 154,757.46 is: 232,135.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,477.46 : 611,215.65 = 154,757.46 : x
  2. Step 2: Convert to fraction form
    407,477.46/611,215.65 = 154,757.46/x
  3. Step 3: Cross multiply
    407,477.46x = 611,215.65 × 154,757.46
  4. Step 4: Simplify right side
    407,477.46x = 94,590,181,506.25
  5. Step 5: Solve for x
    x = 94,590,181,506.25/407,477.46
  6. Step 6: Final answer
    x = 232,135.98

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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.