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Finding the Fourth Proportional to 665,874.16, 918,910.20 and 364,068.16

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Solution

The fourth proportional to 665,874.16, 918,910.20 and 364,068.16 is: 502,416.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,874.16 : 918,910.20 = 364,068.16 : x
  2. Step 2: Convert to fraction form
    665,874.16/918,910.20 = 364,068.16/x
  3. Step 3: Cross multiply
    665,874.16x = 918,910.20 × 364,068.16
  4. Step 4: Simplify right side
    665,874.16x = 334,545,945,719.23
  5. Step 5: Solve for x
    x = 334,545,945,719.23/665,874.16
  6. Step 6: Final answer
    x = 502,416.17

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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.