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Finding the Fourth Proportional to 498,278, 687,623.46 and 271,923.50

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Solution

The fourth proportional to 498,278, 687,623.46 and 271,923.50 is: 375,254.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,278 : 687,623.46 = 271,923.50 : x
  2. Step 2: Convert to fraction form
    498,278/687,623.46 = 271,923.50/x
  3. Step 3: Cross multiply
    498,278x = 687,623.46 × 271,923.50
  4. Step 4: Simplify right side
    498,278x = 186,980,977,925.31
  5. Step 5: Solve for x
    x = 186,980,977,925.31/498,278
  6. Step 6: Final answer
    x = 375,254.33

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1.5x scale

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.