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Finding the Fourth Proportional to 665,862.16, 918,893.64 and 364,056.16

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Solution

The fourth proportional to 665,862.16, 918,893.64 and 364,056.16 is: 502,399.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,862.16 : 918,893.64 = 364,056.16 : x
  2. Step 2: Convert to fraction form
    665,862.16/918,893.64 = 364,056.16/x
  3. Step 3: Cross multiply
    665,862.16x = 918,893.64 × 364,056.16
  4. Step 4: Simplify right side
    665,862.16x = 334,528,890,026.82
  5. Step 5: Solve for x
    x = 334,528,890,026.82/665,862.16
  6. Step 6: Final answer
    x = 502,399.61

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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.