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Finding the Fourth Proportional to 346,572.80, 519,859.20 and 305,894.60

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Solution

The fourth proportional to 346,572.80, 519,859.20 and 305,894.60 is: 458,841.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,572.80 : 519,859.20 = 305,894.60 : x
  2. Step 2: Convert to fraction form
    346,572.80/519,859.20 = 305,894.60/x
  3. Step 3: Cross multiply
    346,572.80x = 519,859.20 × 305,894.60
  4. Step 4: Simplify right side
    346,572.80x = 159,022,122,040.32
  5. Step 5: Solve for x
    x = 159,022,122,040.32/346,572.80
  6. Step 6: Final answer
    x = 458,841.90

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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.