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Finding the Fourth Proportional to 299,125.86, 448,411.77 and 156,941.70

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Solution

The fourth proportional to 299,125.86, 448,411.77 and 156,941.70 is: 235,267.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,125.86 : 448,411.77 = 156,941.70 : x
  2. Step 2: Convert to fraction form
    299,125.86/448,411.77 = 156,941.70/x
  3. Step 3: Cross multiply
    299,125.86x = 448,411.77 × 156,941.70
  4. Step 4: Simplify right side
    299,125.86x = 70,374,505,483.81
  5. Step 5: Solve for x
    x = 70,374,505,483.81/299,125.86
  6. Step 6: Final answer
    x = 235,267.21

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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.