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Finding the Fourth Proportional to 402,709.86, 555,727.80 and 221,421.60

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Solution

The fourth proportional to 402,709.86, 555,727.80 and 221,421.60 is: 305,555.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,709.86 : 555,727.80 = 221,421.60 : x
  2. Step 2: Convert to fraction form
    402,709.86/555,727.80 = 221,421.60/x
  3. Step 3: Cross multiply
    402,709.86x = 555,727.80 × 221,421.60
  4. Step 4: Simplify right side
    402,709.86x = 123,050,138,640.48
  5. Step 5: Solve for x
    x = 123,050,138,640.48/402,709.86
  6. Step 6: Final answer
    x = 305,555.32

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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.