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Finding the Fourth Proportional to 386,970.48, 580,458.96 and 106,503.12

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Solution

The fourth proportional to 386,970.48, 580,458.96 and 106,503.12 is: 159,755.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,970.48 : 580,458.96 = 106,503.12 : x
  2. Step 2: Convert to fraction form
    386,970.48/580,458.96 = 106,503.12/x
  3. Step 3: Cross multiply
    386,970.48x = 580,458.96 × 106,503.12
  4. Step 4: Simplify right side
    386,970.48x = 61,820,690,271.96
  5. Step 5: Solve for x
    x = 61,820,690,271.96/386,970.48
  6. Step 6: Final answer
    x = 159,755.57

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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.