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Finding the Fourth Proportional to 642,646.80, 963,532.80 and 305,848.80

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Solution

The fourth proportional to 642,646.80, 963,532.80 and 305,848.80 is: 458,565.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,646.80 : 963,532.80 = 305,848.80 : x
  2. Step 2: Convert to fraction form
    642,646.80/963,532.80 = 305,848.80/x
  3. Step 3: Cross multiply
    642,646.80x = 963,532.80 × 305,848.80
  4. Step 4: Simplify right side
    642,646.80x = 294,695,350,640.64
  5. Step 5: Solve for x
    x = 294,695,350,640.64/642,646.80
  6. Step 6: Final answer
    x = 458,565.03

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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.