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Finding the Fourth Proportional to 402,821.90, 555,883.10 and 221,533.80

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Solution

The fourth proportional to 402,821.90, 555,883.10 and 221,533.80 is: 305,710.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,821.90 : 555,883.10 = 221,533.80 : x
  2. Step 2: Convert to fraction form
    402,821.90/555,883.10 = 221,533.80/x
  3. Step 3: Cross multiply
    402,821.90x = 555,883.10 × 221,533.80
  4. Step 4: Simplify right side
    402,821.90x = 123,146,894,391.11
  5. Step 5: Solve for x
    x = 123,146,894,391.11/402,821.90
  6. Step 6: Final answer
    x = 305,710.53

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1.5x scale

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.