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Finding the Fourth Proportional to 665,863.16, 918,895.02 and 364,057.16

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Solution

The fourth proportional to 665,863.16, 918,895.02 and 364,057.16 is: 502,400.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,863.16 : 918,895.02 = 364,057.16 : x
  2. Step 2: Convert to fraction form
    665,863.16/918,895.02 = 364,057.16/x
  3. Step 3: Cross multiply
    665,863.16x = 918,895.02 × 364,057.16
  4. Step 4: Simplify right side
    665,863.16x = 334,530,311,319.34
  5. Step 5: Solve for x
    x = 334,530,311,319.34/665,863.16
  6. Step 6: Final answer
    x = 502,400.99

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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.