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Finding the Fourth Proportional to 402,765,362.76, 555,786,153.84 and 226,519,307.52

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Solution

The fourth proportional to 402,765,362.76, 555,786,153.84 and 226,519,307.52 is: 312,579,745.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,765,362.76 : 555,786,153.84 = 226,519,307.52 : x
  2. Step 2: Convert to fraction form
    402,765,362.76/555,786,153.84 = 226,519,307.52/x
  3. Step 3: Cross multiply
    402,765,362.76x = 555,786,153.84 × 226,519,307.52
  4. Step 4: Simplify right side
    402,765,362.76x = 125,896,294,697,041,008
  5. Step 5: Solve for x
    x = 125,896,294,697,041,008/402,765,362.76
  6. Step 6: Final answer
    x = 312,579,745.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.