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Finding the Fourth Proportional to 260,015.70, 390,153.15 and 147,782.10

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Solution

The fourth proportional to 260,015.70, 390,153.15 and 147,782.10 is: 221,746.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,015.70 : 390,153.15 = 147,782.10 : x
  2. Step 2: Convert to fraction form
    260,015.70/390,153.15 = 147,782.10/x
  3. Step 3: Cross multiply
    260,015.70x = 390,153.15 × 147,782.10
  4. Step 4: Simplify right side
    260,015.70x = 57,657,651,828.62
  5. Step 5: Solve for x
    x = 57,657,651,828.62/260,015.70
  6. Step 6: Final answer
    x = 221,746.81

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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.