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Finding the Fourth Proportional to 277,931,005, 416,899,500.86 and 83,844,101.68

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Solution

The fourth proportional to 277,931,005, 416,899,500.86 and 83,844,101.68 is: 125,767,055.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,931,005 : 416,899,500.86 = 83,844,101.68 : x
  2. Step 2: Convert to fraction form
    277,931,005/416,899,500.86 = 83,844,101.68/x
  3. Step 3: Cross multiply
    277,931,005x = 416,899,500.86 × 83,844,101.68
  4. Step 4: Simplify right side
    277,931,005x = 34,954,564,140,447,092
  5. Step 5: Solve for x
    x = 34,954,564,140,447,092/277,931,005
  6. Step 6: Final answer
    x = 125,767,055.53

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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.