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Finding the Fourth Proportional to 611,492.97, 843,831.90 and 339,578.10

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Solution

The fourth proportional to 611,492.97, 843,831.90 and 339,578.10 is: 468,602.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,492.97 : 843,831.90 = 339,578.10 : x
  2. Step 2: Convert to fraction form
    611,492.97/843,831.90 = 339,578.10/x
  3. Step 3: Cross multiply
    611,492.97x = 843,831.90 × 339,578.10
  4. Step 4: Simplify right side
    611,492.97x = 286,546,833,321.39
  5. Step 5: Solve for x
    x = 286,546,833,321.39/611,492.97
  6. Step 6: Final answer
    x = 468,602.01

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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.