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Finding the Fourth Proportional to 665,900.15, 918,945.75 and 364,094.15

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Solution

The fourth proportional to 665,900.15, 918,945.75 and 364,094.15 is: 502,451.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,900.15 : 918,945.75 = 364,094.15 : x
  2. Step 2: Convert to fraction form
    665,900.15/918,945.75 = 364,094.15/x
  3. Step 3: Cross multiply
    665,900.15x = 918,945.75 × 364,094.15
  4. Step 4: Simplify right side
    665,900.15x = 334,582,767,147.63
  5. Step 5: Solve for x
    x = 334,582,767,147.63/665,900.15
  6. Step 6: Final answer
    x = 502,451.86

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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.