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Finding the Fourth Proportional to 310,750.10, 463,847.61 and 287,927.81

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Solution

The fourth proportional to 310,750.10, 463,847.61 and 287,927.81 is: 429,781.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,750.10 : 463,847.61 = 287,927.81 : x
  2. Step 2: Convert to fraction form
    310,750.10/463,847.61 = 287,927.81/x
  3. Step 3: Cross multiply
    310,750.10x = 463,847.61 × 287,927.81
  4. Step 4: Simplify right side
    310,750.10x = 133,554,625,081.40
  5. Step 5: Solve for x
    x = 133,554,625,081.40/310,750.10
  6. Step 6: Final answer
    x = 429,781.44

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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.