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Finding the Fourth Proportional to 585,135, 807,486.30 and 316,863

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Solution

The fourth proportional to 585,135, 807,486.30 and 316,863 is: 437,270.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,135 : 807,486.30 = 316,863 : x
  2. Step 2: Convert to fraction form
    585,135/807,486.30 = 316,863/x
  3. Step 3: Cross multiply
    585,135x = 807,486.30 × 316,863
  4. Step 4: Simplify right side
    585,135x = 255,862,531,476.90
  5. Step 5: Solve for x
    x = 255,862,531,476.90/585,135
  6. Step 6: Final answer
    x = 437,270.94

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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.