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Finding the Fourth Proportional to 651,797.64, 899,465.36 and 361,407.78

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Solution

The fourth proportional to 651,797.64, 899,465.36 and 361,407.78 is: 498,734.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,797.64 : 899,465.36 = 361,407.78 : x
  2. Step 2: Convert to fraction form
    651,797.64/899,465.36 = 361,407.78/x
  3. Step 3: Cross multiply
    651,797.64x = 899,465.36 × 361,407.78
  4. Step 4: Simplify right side
    651,797.64x = 325,073,778,944.50
  5. Step 5: Solve for x
    x = 325,073,778,944.50/651,797.64
  6. Step 6: Final answer
    x = 498,734.21

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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.