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Finding the Fourth Proportional to 402,700.83, 555,715.40 and 221,412.57

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Solution

The fourth proportional to 402,700.83, 555,715.40 and 221,412.57 is: 305,542.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,700.83 : 555,715.40 = 221,412.57 : x
  2. Step 2: Convert to fraction form
    402,700.83/555,715.40 = 221,412.57/x
  3. Step 3: Cross multiply
    402,700.83x = 555,715.40 × 221,412.57
  4. Step 4: Simplify right side
    402,700.83x = 123,042,373,795.52
  5. Step 5: Solve for x
    x = 123,042,373,795.52/402,700.83
  6. Step 6: Final answer
    x = 305,542.89

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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.