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Finding the Fourth Proportional to 403,206.40, 604,809.60 and 263,123.20

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Solution

The fourth proportional to 403,206.40, 604,809.60 and 263,123.20 is: 394,684.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,206.40 : 604,809.60 = 263,123.20 : x
  2. Step 2: Convert to fraction form
    403,206.40/604,809.60 = 263,123.20/x
  3. Step 3: Cross multiply
    403,206.40x = 604,809.60 × 263,123.20
  4. Step 4: Simplify right side
    403,206.40x = 159,139,437,342.72
  5. Step 5: Solve for x
    x = 159,139,437,342.72/403,206.40
  6. Step 6: Final answer
    x = 394,684.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.