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Finding the Fourth Proportional to 385,298.64, 531,818.96 and 224,184.80

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Solution

The fourth proportional to 385,298.64, 531,818.96 and 224,184.80 is: 309,437.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,298.64 : 531,818.96 = 224,184.80 : x
  2. Step 2: Convert to fraction form
    385,298.64/531,818.96 = 224,184.80/x
  3. Step 3: Cross multiply
    385,298.64x = 531,818.96 × 224,184.80
  4. Step 4: Simplify right side
    385,298.64x = 119,225,727,183.81
  5. Step 5: Solve for x
    x = 119,225,727,183.81/385,298.64
  6. Step 6: Final answer
    x = 309,437.19

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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.