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Finding the Fourth Proportional to 662,931.90, 993,732 and 213,322.32

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Solution

The fourth proportional to 662,931.90, 993,732 and 213,322.32 is: 319,769.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,931.90 : 993,732 = 213,322.32 : x
  2. Step 2: Convert to fraction form
    662,931.90/993,732 = 213,322.32/x
  3. Step 3: Cross multiply
    662,931.90x = 993,732 × 213,322.32
  4. Step 4: Simplify right side
    662,931.90x = 211,985,215,698.24
  5. Step 5: Solve for x
    x = 211,985,215,698.24/662,931.90
  6. Step 6: Final answer
    x = 319,769.22

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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.