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Finding the Fourth Proportional to 277,289.48, 415,934.32 and 77,639.32

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Solution

The fourth proportional to 277,289.48, 415,934.32 and 77,639.32 is: 116,459.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,289.48 : 415,934.32 = 77,639.32 : x
  2. Step 2: Convert to fraction form
    277,289.48/415,934.32 = 77,639.32/x
  3. Step 3: Cross multiply
    277,289.48x = 415,934.32 × 77,639.32
  4. Step 4: Simplify right side
    277,289.48x = 32,292,857,769.46
  5. Step 5: Solve for x
    x = 32,292,857,769.46/277,289.48
  6. Step 6: Final answer
    x = 116,459.01

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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.