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Finding the Fourth Proportional to 401,454.58, 602,056.32 and 145,254.82

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Solution

The fourth proportional to 401,454.58, 602,056.32 and 145,254.82 is: 217,836.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,454.58 : 602,056.32 = 145,254.82 : x
  2. Step 2: Convert to fraction form
    401,454.58/602,056.32 = 145,254.82/x
  3. Step 3: Cross multiply
    401,454.58x = 602,056.32 × 145,254.82
  4. Step 4: Simplify right side
    401,454.58x = 87,451,582,391.46
  5. Step 5: Solve for x
    x = 87,451,582,391.46/401,454.58
  6. Step 6: Final answer
    x = 217,836.80

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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.