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Finding the Fourth Proportional to 260,007.10, 390,010.65 and 147,643.90

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Solution

The fourth proportional to 260,007.10, 390,010.65 and 147,643.90 is: 221,465.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,007.10 : 390,010.65 = 147,643.90 : x
  2. Step 2: Convert to fraction form
    260,007.10/390,010.65 = 147,643.90/x
  3. Step 3: Cross multiply
    260,007.10x = 390,010.65 × 147,643.90
  4. Step 4: Simplify right side
    260,007.10x = 57,582,693,407.54
  5. Step 5: Solve for x
    x = 57,582,693,407.54/260,007.10
  6. Step 6: Final answer
    x = 221,465.85

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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.