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Finding the Fourth Proportional to 504,954.60, 756,411.30 and 314,831.40

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Solution

The fourth proportional to 504,954.60, 756,411.30 and 314,831.40 is: 471,610.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,954.60 : 756,411.30 = 314,831.40 : x
  2. Step 2: Convert to fraction form
    504,954.60/756,411.30 = 314,831.40/x
  3. Step 3: Cross multiply
    504,954.60x = 756,411.30 × 314,831.40
  4. Step 4: Simplify right side
    504,954.60x = 238,142,028,554.82
  5. Step 5: Solve for x
    x = 238,142,028,554.82/504,954.60
  6. Step 6: Final answer
    x = 471,610.77

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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.