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Finding the Fourth Proportional to 504,951.60, 756,406.80 and 314,828.40

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Solution

The fourth proportional to 504,951.60, 756,406.80 and 314,828.40 is: 471,606.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,951.60 : 756,406.80 = 314,828.40 : x
  2. Step 2: Convert to fraction form
    504,951.60/756,406.80 = 314,828.40/x
  3. Step 3: Cross multiply
    504,951.60x = 756,406.80 × 314,828.40
  4. Step 4: Simplify right side
    504,951.60x = 238,138,342,593.12
  5. Step 5: Solve for x
    x = 238,138,342,593.12/504,951.60
  6. Step 6: Final answer
    x = 471,606.27

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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.