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Finding the Fourth Proportional to 662,143, 993,370.02 and 218,911

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Solution

The fourth proportional to 662,143, 993,370.02 and 218,911 is: 328,417.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,143 : 993,370.02 = 218,911 : x
  2. Step 2: Convert to fraction form
    662,143/993,370.02 = 218,911/x
  3. Step 3: Cross multiply
    662,143x = 993,370.02 × 218,911
  4. Step 4: Simplify right side
    662,143x = 217,459,624,448.22
  5. Step 5: Solve for x
    x = 217,459,624,448.22/662,143
  6. Step 6: Final answer
    x = 328,417.92

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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.