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Finding the Fourth Proportional to 277,243,357.80, 415,865,036.70 and 72,792,100.20

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Solution

The fourth proportional to 277,243,357.80, 415,865,036.70 and 72,792,100.20 is: 109,188,150.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,243,357.80 : 415,865,036.70 = 72,792,100.20 : x
  2. Step 2: Convert to fraction form
    277,243,357.80/415,865,036.70 = 72,792,100.20/x
  3. Step 3: Cross multiply
    277,243,357.80x = 415,865,036.70 × 72,792,100.20
  4. Step 4: Simplify right side
    277,243,357.80x = 30,271,689,421,143,076
  5. Step 5: Solve for x
    x = 30,271,689,421,143,076/277,243,357.80
  6. Step 6: Final answer
    x = 109,188,150.30

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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.