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Finding the Fourth Proportional to 402,406.34, 555,320.60 and 221,129.96

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Solution

The fourth proportional to 402,406.34, 555,320.60 and 221,129.96 is: 305,159.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,406.34 : 555,320.60 = 221,129.96 : x
  2. Step 2: Convert to fraction form
    402,406.34/555,320.60 = 221,129.96/x
  3. Step 3: Cross multiply
    402,406.34x = 555,320.60 × 221,129.96
  4. Step 4: Simplify right side
    402,406.34x = 122,798,022,065.18
  5. Step 5: Solve for x
    x = 122,798,022,065.18/402,406.34
  6. Step 6: Final answer
    x = 305,159.26

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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.