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Finding the Fourth Proportional to 253,035.93, 348,963.42 and 209,947.20

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Solution

The fourth proportional to 253,035.93, 348,963.42 and 209,947.20 is: 289,539.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,035.93 : 348,963.42 = 209,947.20 : x
  2. Step 2: Convert to fraction form
    253,035.93/348,963.42 = 209,947.20/x
  3. Step 3: Cross multiply
    253,035.93x = 348,963.42 × 209,947.20
  4. Step 4: Simplify right side
    253,035.93x = 73,263,892,931.42
  5. Step 5: Solve for x
    x = 73,263,892,931.42/253,035.93
  6. Step 6: Final answer
    x = 289,539.49

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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.