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Finding the Fourth Proportional to 376,084.71, 563,831.70 and 257,396.22

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Solution

The fourth proportional to 376,084.71, 563,831.70 and 257,396.22 is: 385,892.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,084.71 : 563,831.70 = 257,396.22 : x
  2. Step 2: Convert to fraction form
    376,084.71/563,831.70 = 257,396.22/x
  3. Step 3: Cross multiply
    376,084.71x = 563,831.70 × 257,396.22
  4. Step 4: Simplify right side
    376,084.71x = 145,128,148,296.17
  5. Step 5: Solve for x
    x = 145,128,148,296.17/376,084.71
  6. Step 6: Final answer
    x = 385,892.18

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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.