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Finding the Fourth Proportional to 305,941.98, 420,702.58 and 265,585.20

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Solution

The fourth proportional to 305,941.98, 420,702.58 and 265,585.20 is: 365,207.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,941.98 : 420,702.58 = 265,585.20 : x
  2. Step 2: Convert to fraction form
    305,941.98/420,702.58 = 265,585.20/x
  3. Step 3: Cross multiply
    305,941.98x = 420,702.58 × 265,585.20
  4. Step 4: Simplify right side
    305,941.98x = 111,732,378,849.82
  5. Step 5: Solve for x
    x = 111,732,378,849.82/305,941.98
  6. Step 6: Final answer
    x = 365,207.74

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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.