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Finding the Fourth Proportional to 277,348.47, 415,981.71 and 77,656.20

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Solution

The fourth proportional to 277,348.47, 415,981.71 and 77,656.20 is: 116,472.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,348.47 : 415,981.71 = 77,656.20 : x
  2. Step 2: Convert to fraction form
    277,348.47/415,981.71 = 77,656.20/x
  3. Step 3: Cross multiply
    277,348.47x = 415,981.71 × 77,656.20
  4. Step 4: Simplify right side
    277,348.47x = 32,303,558,868.10
  5. Step 5: Solve for x
    x = 32,303,558,868.10/277,348.47
  6. Step 6: Final answer
    x = 116,472.82

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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.