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Finding the Fourth Proportional to 340,944, 511,513.20 and 116,354.40

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Solution

The fourth proportional to 340,944, 511,513.20 and 116,354.40 is: 174,564.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,944 : 511,513.20 = 116,354.40 : x
  2. Step 2: Convert to fraction form
    340,944/511,513.20 = 116,354.40/x
  3. Step 3: Cross multiply
    340,944x = 511,513.20 × 116,354.40
  4. Step 4: Simplify right side
    340,944x = 59,516,811,478.08
  5. Step 5: Solve for x
    x = 59,516,811,478.08/340,944
  6. Step 6: Final answer
    x = 174,564.77

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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.