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Finding the Fourth Proportional to 260,597.15, 390,975.10 and 127,458.06

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Solution

The fourth proportional to 260,597.15, 390,975.10 and 127,458.06 is: 191,225.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,597.15 : 390,975.10 = 127,458.06 : x
  2. Step 2: Convert to fraction form
    260,597.15/390,975.10 = 127,458.06/x
  3. Step 3: Cross multiply
    260,597.15x = 390,975.10 × 127,458.06
  4. Step 4: Simplify right side
    260,597.15x = 49,832,926,686.46
  5. Step 5: Solve for x
    x = 49,832,926,686.46/260,597.15
  6. Step 6: Final answer
    x = 191,225.91

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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.