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Finding the Fourth Proportional to 306,352.60, 422,762.64 and 170,386

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Solution

The fourth proportional to 306,352.60, 422,762.64 and 170,386 is: 235,130.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,352.60 : 422,762.64 = 170,386 : x
  2. Step 2: Convert to fraction form
    306,352.60/422,762.64 = 170,386/x
  3. Step 3: Cross multiply
    306,352.60x = 422,762.64 × 170,386
  4. Step 4: Simplify right side
    306,352.60x = 72,032,835,179.04
  5. Step 5: Solve for x
    x = 72,032,835,179.04/306,352.60
  6. Step 6: Final answer
    x = 235,130.48

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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.