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Finding the Fourth Proportional to 278,643.85, 384,507.21 and 163,927.06

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Solution

The fourth proportional to 278,643.85, 384,507.21 and 163,927.06 is: 226,206.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,643.85 : 384,507.21 = 163,927.06 : x
  2. Step 2: Convert to fraction form
    278,643.85/384,507.21 = 163,927.06/x
  3. Step 3: Cross multiply
    278,643.85x = 384,507.21 × 163,927.06
  4. Step 4: Simplify right side
    278,643.85x = 63,031,136,484.10
  5. Step 5: Solve for x
    x = 63,031,136,484.10/278,643.85
  6. Step 6: Final answer
    x = 226,206.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.