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Finding the Fourth Proportional to 610,468.47, 915,578 and 231,258.47

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Solution

The fourth proportional to 610,468.47, 915,578 and 231,258.47 is: 346,840.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,468.47 : 915,578 = 231,258.47 : x
  2. Step 2: Convert to fraction form
    610,468.47/915,578 = 231,258.47/x
  3. Step 3: Cross multiply
    610,468.47x = 915,578 × 231,258.47
  4. Step 4: Simplify right side
    610,468.47x = 211,735,162,867.77
  5. Step 5: Solve for x
    x = 211,735,162,867.77/610,468.47
  6. Step 6: Final answer
    x = 346,840.46

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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.