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Finding the Fourth Proportional to 434,130.51, 650,848.03 and 206,311.80

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Solution

The fourth proportional to 434,130.51, 650,848.03 and 206,311.80 is: 309,302.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,130.51 : 650,848.03 = 206,311.80 : x
  2. Step 2: Convert to fraction form
    434,130.51/650,848.03 = 206,311.80/x
  3. Step 3: Cross multiply
    434,130.51x = 650,848.03 × 206,311.80
  4. Step 4: Simplify right side
    434,130.51x = 134,277,628,595.75
  5. Step 5: Solve for x
    x = 134,277,628,595.75/434,130.51
  6. Step 6: Final answer
    x = 309,302.45

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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.