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Finding the Fourth Proportional to 497,215.81, 686,156.57 and 270,860.77

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Solution

The fourth proportional to 497,215.81, 686,156.57 and 270,860.77 is: 373,787.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,215.81 : 686,156.57 = 270,860.77 : x
  2. Step 2: Convert to fraction form
    497,215.81/686,156.57 = 270,860.77/x
  3. Step 3: Cross multiply
    497,215.81x = 686,156.57 × 270,860.77
  4. Step 4: Simplify right side
    497,215.81x = 185,852,895,536.46
  5. Step 5: Solve for x
    x = 185,852,895,536.46/497,215.81
  6. Step 6: Final answer
    x = 373,787.18

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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.