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Finding the Fourth Proportional to 613,977.60, 847,288.32 and 345,707.52

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Solution

The fourth proportional to 613,977.60, 847,288.32 and 345,707.52 is: 477,075.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,977.60 : 847,288.32 = 345,707.52 : x
  2. Step 2: Convert to fraction form
    613,977.60/847,288.32 = 345,707.52/x
  3. Step 3: Cross multiply
    613,977.60x = 847,288.32 × 345,707.52
  4. Step 4: Simplify right side
    613,977.60x = 292,913,943,832.17
  5. Step 5: Solve for x
    x = 292,913,943,832.17/613,977.60
  6. Step 6: Final answer
    x = 477,075.95

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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.