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Finding the Fourth Proportional to 420,558.74, 580,359.90 and 386,703.98

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Solution

The fourth proportional to 420,558.74, 580,359.90 and 386,703.98 is: 533,641.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,558.74 : 580,359.90 = 386,703.98 : x
  2. Step 2: Convert to fraction form
    420,558.74/580,359.90 = 386,703.98/x
  3. Step 3: Cross multiply
    420,558.74x = 580,359.90 × 386,703.98
  4. Step 4: Simplify right side
    420,558.74x = 224,427,483,162.40
  5. Step 5: Solve for x
    x = 224,427,483,162.40/420,558.74
  6. Step 6: Final answer
    x = 533,641.23

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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.