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Finding the Fourth Proportional to 310,750.35, 463,847.98 and 287,928.06

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Solution

The fourth proportional to 310,750.35, 463,847.98 and 287,928.06 is: 429,781.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,750.35 : 463,847.98 = 287,928.06 : x
  2. Step 2: Convert to fraction form
    310,750.35/463,847.98 = 287,928.06/x
  3. Step 3: Cross multiply
    310,750.35x = 463,847.98 × 287,928.06
  4. Step 4: Simplify right side
    310,750.35x = 133,554,848,296.50
  5. Step 5: Solve for x
    x = 133,554,848,296.50/310,750.35
  6. Step 6: Final answer
    x = 429,781.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.