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Finding the Fourth Proportional to 465,860.38, 642,999.99 and 434,341.66

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Solution

The fourth proportional to 465,860.38, 642,999.99 and 434,341.66 is: 599,496.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,860.38 : 642,999.99 = 434,341.66 : x
  2. Step 2: Convert to fraction form
    465,860.38/642,999.99 = 434,341.66/x
  3. Step 3: Cross multiply
    465,860.38x = 642,999.99 × 434,341.66
  4. Step 4: Simplify right side
    465,860.38x = 279,281,683,036.58
  5. Step 5: Solve for x
    x = 279,281,683,036.58/465,860.38
  6. Step 6: Final answer
    x = 599,496.53

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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.