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Finding the Fourth Proportional to 402,283.58, 603,430.90 and 102,766.64

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Solution

The fourth proportional to 402,283.58, 603,430.90 and 102,766.64 is: 154,151.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,283.58 : 603,430.90 = 102,766.64 : x
  2. Step 2: Convert to fraction form
    402,283.58/603,430.90 = 102,766.64/x
  3. Step 3: Cross multiply
    402,283.58x = 603,430.90 × 102,766.64
  4. Step 4: Simplify right side
    402,283.58x = 62,012,566,065.18
  5. Step 5: Solve for x
    x = 62,012,566,065.18/402,283.58
  6. Step 6: Final answer
    x = 154,151.37

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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.