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Finding the Fourth Proportional to 617,647.16, 852,281.46 and 345,730.28

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Solution

The fourth proportional to 617,647.16, 852,281.46 and 345,730.28 is: 477,067.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,647.16 : 852,281.46 = 345,730.28 : x
  2. Step 2: Convert to fraction form
    617,647.16/852,281.46 = 345,730.28/x
  3. Step 3: Cross multiply
    617,647.16x = 852,281.46 × 345,730.28
  4. Step 4: Simplify right side
    617,647.16x = 294,659,507,804.61
  5. Step 5: Solve for x
    x = 294,659,507,804.61/617,647.16
  6. Step 6: Final answer
    x = 477,067.70

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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.