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Finding the Fourth Proportional to 518,403.50, 777,649.80 and 144,426.50

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Solution

The fourth proportional to 518,403.50, 777,649.80 and 144,426.50 is: 216,652.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,403.50 : 777,649.80 = 144,426.50 : x
  2. Step 2: Convert to fraction form
    518,403.50/777,649.80 = 144,426.50/x
  3. Step 3: Cross multiply
    518,403.50x = 777,649.80 × 144,426.50
  4. Step 4: Simplify right side
    518,403.50x = 112,313,238,839.70
  5. Step 5: Solve for x
    x = 112,313,238,839.70/518,403.50
  6. Step 6: Final answer
    x = 216,652.16

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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.