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Finding the Fourth Proportional to 385,322.61, 531,852.17 and 224,208.89

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Solution

The fourth proportional to 385,322.61, 531,852.17 and 224,208.89 is: 309,470.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,322.61 : 531,852.17 = 224,208.89 : x
  2. Step 2: Convert to fraction form
    385,322.61/531,852.17 = 224,208.89/x
  3. Step 3: Cross multiply
    385,322.61x = 531,852.17 × 224,208.89
  4. Step 4: Simplify right side
    385,322.61x = 119,245,980,899.49
  5. Step 5: Solve for x
    x = 119,245,980,899.49/385,322.61
  6. Step 6: Final answer
    x = 309,470.50

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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.