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Finding the Fourth Proportional to 260,211.28, 390,448.08 and 102,552.88

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Solution

The fourth proportional to 260,211.28, 390,448.08 and 102,552.88 is: 153,881.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,211.28 : 390,448.08 = 102,552.88 : x
  2. Step 2: Convert to fraction form
    260,211.28/390,448.08 = 102,552.88/x
  3. Step 3: Cross multiply
    260,211.28x = 390,448.08 × 102,552.88
  4. Step 4: Simplify right side
    260,211.28x = 40,041,575,094.47
  5. Step 5: Solve for x
    x = 40,041,575,094.47/260,211.28
  6. Step 6: Final answer
    x = 153,881.01

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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.