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Finding the Fourth Proportional to 502,903.42, 693,836.86 and 285,088.74

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Solution

The fourth proportional to 502,903.42, 693,836.86 and 285,088.74 is: 393,326.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,903.42 : 693,836.86 = 285,088.74 : x
  2. Step 2: Convert to fraction form
    502,903.42/693,836.86 = 285,088.74/x
  3. Step 3: Cross multiply
    502,903.42x = 693,836.86 × 285,088.74
  4. Step 4: Simplify right side
    502,903.42x = 197,805,076,182.96
  5. Step 5: Solve for x
    x = 197,805,076,182.96/502,903.42
  6. Step 6: Final answer
    x = 393,326.17

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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.