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Finding the Fourth Proportional to 497,606.94, 686,275.02 and 420,460.56

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Solution

The fourth proportional to 497,606.94, 686,275.02 and 420,460.56 is: 579,878.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,606.94 : 686,275.02 = 420,460.56 : x
  2. Step 2: Convert to fraction form
    497,606.94/686,275.02 = 420,460.56/x
  3. Step 3: Cross multiply
    497,606.94x = 686,275.02 × 420,460.56
  4. Step 4: Simplify right side
    497,606.94x = 288,551,579,223.21
  5. Step 5: Solve for x
    x = 288,551,579,223.21/497,606.94
  6. Step 6: Final answer
    x = 579,878.53

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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.