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Finding the Fourth Proportional to 427,232.40, 640,675.80 and 146,605.20

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Solution

The fourth proportional to 427,232.40, 640,675.80 and 146,605.20 is: 219,848.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,232.40 : 640,675.80 = 146,605.20 : x
  2. Step 2: Convert to fraction form
    427,232.40/640,675.80 = 146,605.20/x
  3. Step 3: Cross multiply
    427,232.40x = 640,675.80 × 146,605.20
  4. Step 4: Simplify right side
    427,232.40x = 93,926,403,794.16
  5. Step 5: Solve for x
    x = 93,926,403,794.16/427,232.40
  6. Step 6: Final answer
    x = 219,848.50

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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.