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Finding the Fourth Proportional to 465,390.21, 697,439.45 and 212,051.57

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Solution

The fourth proportional to 465,390.21, 697,439.45 and 212,051.57 is: 317,783.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,390.21 : 697,439.45 = 212,051.57 : x
  2. Step 2: Convert to fraction form
    465,390.21/697,439.45 = 212,051.57/x
  3. Step 3: Cross multiply
    465,390.21x = 697,439.45 × 212,051.57
  4. Step 4: Simplify right side
    465,390.21x = 147,893,132,626.16
  5. Step 5: Solve for x
    x = 147,893,132,626.16/465,390.21
  6. Step 6: Final answer
    x = 317,783.08

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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.