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Finding the Fourth Proportional to 260,016.70, 390,154.65 and 147,783.10

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Solution

The fourth proportional to 260,016.70, 390,154.65 and 147,783.10 is: 221,748.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,016.70 : 390,154.65 = 147,783.10 : x
  2. Step 2: Convert to fraction form
    260,016.70/390,154.65 = 147,783.10/x
  3. Step 3: Cross multiply
    260,016.70x = 390,154.65 × 147,783.10
  4. Step 4: Simplify right side
    260,016.70x = 57,658,263,656.42
  5. Step 5: Solve for x
    x = 57,658,263,656.42/260,016.70
  6. Step 6: Final answer
    x = 221,748.31

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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.