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Finding the Fourth Proportional to 497,390.72, 686,712.74 and 352,503.77

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Solution

The fourth proportional to 497,390.72, 686,712.74 and 352,503.77 is: 486,677.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,390.72 : 686,712.74 = 352,503.77 : x
  2. Step 2: Convert to fraction form
    497,390.72/686,712.74 = 352,503.77/x
  3. Step 3: Cross multiply
    497,390.72x = 686,712.74 × 352,503.77
  4. Step 4: Simplify right side
    497,390.72x = 242,068,824,560.95
  5. Step 5: Solve for x
    x = 242,068,824,560.95/497,390.72
  6. Step 6: Final answer
    x = 486,677.41

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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.