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Finding the Fourth Proportional to 565,886.40, 780,781.92 and 364,440

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Solution

The fourth proportional to 565,886.40, 780,781.92 and 364,440 is: 502,836.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,886.40 : 780,781.92 = 364,440 : x
  2. Step 2: Convert to fraction form
    565,886.40/780,781.92 = 364,440/x
  3. Step 3: Cross multiply
    565,886.40x = 780,781.92 × 364,440
  4. Step 4: Simplify right side
    565,886.40x = 284,548,162,924.80
  5. Step 5: Solve for x
    x = 284,548,162,924.80/565,886.40
  6. Step 6: Final answer
    x = 502,836.19

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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.