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Finding the Fourth Proportional to 518,403, 777,649.05 and 144,426

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Solution

The fourth proportional to 518,403, 777,649.05 and 144,426 is: 216,651.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,403 : 777,649.05 = 144,426 : x
  2. Step 2: Convert to fraction form
    518,403/777,649.05 = 144,426/x
  3. Step 3: Cross multiply
    518,403x = 777,649.05 × 144,426
  4. Step 4: Simplify right side
    518,403x = 112,312,741,695.30
  5. Step 5: Solve for x
    x = 112,312,741,695.30/518,403
  6. Step 6: Final answer
    x = 216,651.41

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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.