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Finding the Fourth Proportional to 465,459.40, 642,638.10 and 357,830.92

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Solution

The fourth proportional to 465,459.40, 642,638.10 and 357,830.92 is: 494,040.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,459.40 : 642,638.10 = 357,830.92 : x
  2. Step 2: Convert to fraction form
    465,459.40/642,638.10 = 357,830.92/x
  3. Step 3: Cross multiply
    465,459.40x = 642,638.10 × 357,830.92
  4. Step 4: Simplify right side
    465,459.40x = 229,955,782,550.05
  5. Step 5: Solve for x
    x = 229,955,782,550.05/465,459.40
  6. Step 6: Final answer
    x = 494,040.47

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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.