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Finding the Fourth Proportional to 364,695.60, 546,784.20 and 139,969.20

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Solution

The fourth proportional to 364,695.60, 546,784.20 and 139,969.20 is: 209,854.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,695.60 : 546,784.20 = 139,969.20 : x
  2. Step 2: Convert to fraction form
    364,695.60/546,784.20 = 139,969.20/x
  3. Step 3: Cross multiply
    364,695.60x = 546,784.20 × 139,969.20
  4. Step 4: Simplify right side
    364,695.60x = 76,532,947,046.64
  5. Step 5: Solve for x
    x = 76,532,947,046.64/364,695.60
  6. Step 6: Final answer
    x = 209,854.32

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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.