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Finding the Fourth Proportional to 433,221.51, 649,290.36 and 208,521.84

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Solution

The fourth proportional to 433,221.51, 649,290.36 and 208,521.84 is: 312,521.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,221.51 : 649,290.36 = 208,521.84 : x
  2. Step 2: Convert to fraction form
    433,221.51/649,290.36 = 208,521.84/x
  3. Step 3: Cross multiply
    433,221.51x = 649,290.36 × 208,521.84
  4. Step 4: Simplify right side
    433,221.51x = 135,391,220,561.46
  5. Step 5: Solve for x
    x = 135,391,220,561.46/433,221.51
  6. Step 6: Final answer
    x = 312,521.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.