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Finding the Fourth Proportional to 259,804.80, 390,057.60 and 166,492.80

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Solution

The fourth proportional to 259,804.80, 390,057.60 and 166,492.80 is: 249,963.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,804.80 : 390,057.60 = 166,492.80 : x
  2. Step 2: Convert to fraction form
    259,804.80/390,057.60 = 166,492.80/x
  3. Step 3: Cross multiply
    259,804.80x = 390,057.60 × 166,492.80
  4. Step 4: Simplify right side
    259,804.80x = 64,941,781,985.28
  5. Step 5: Solve for x
    x = 64,941,781,985.28/259,804.80
  6. Step 6: Final answer
    x = 249,963.75

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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.