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Finding the Fourth Proportional to 433,982, 650,973.12 and 209,300.60

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Solution

The fourth proportional to 433,982, 650,973.12 and 209,300.60 is: 313,950.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,982 : 650,973.12 = 209,300.60 : x
  2. Step 2: Convert to fraction form
    433,982/650,973.12 = 209,300.60/x
  3. Step 3: Cross multiply
    433,982x = 650,973.12 × 209,300.60
  4. Step 4: Simplify right side
    433,982x = 136,249,064,599.87
  5. Step 5: Solve for x
    x = 136,249,064,599.87/433,982
  6. Step 6: Final answer
    x = 313,950.96

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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.