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Finding the Fourth Proportional to 260,557.47, 390,406.91 and 238,768.47

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Solution

The fourth proportional to 260,557.47, 390,406.91 and 238,768.47 is: 357,759.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,557.47 : 390,406.91 = 238,768.47 : x
  2. Step 2: Convert to fraction form
    260,557.47/390,406.91 = 238,768.47/x
  3. Step 3: Cross multiply
    260,557.47x = 390,406.91 × 238,768.47
  4. Step 4: Simplify right side
    260,557.47x = 93,216,859,384.29
  5. Step 5: Solve for x
    x = 93,216,859,384.29/260,557.47
  6. Step 6: Final answer
    x = 357,759.31

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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.