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Finding the Fourth Proportional to 310,263.84, 428,327.46 and 208,822.50

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Solution

The fourth proportional to 310,263.84, 428,327.46 and 208,822.50 is: 288,285.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,263.84 : 428,327.46 = 208,822.50 : x
  2. Step 2: Convert to fraction form
    310,263.84/428,327.46 = 208,822.50/x
  3. Step 3: Cross multiply
    310,263.84x = 428,327.46 × 208,822.50
  4. Step 4: Simplify right side
    310,263.84x = 89,444,411,015.85
  5. Step 5: Solve for x
    x = 89,444,411,015.85/310,263.84
  6. Step 6: Final answer
    x = 288,285.00

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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.