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Finding the Fourth Proportional to 630,178.90, 945,409.35 and 230,811.70

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Solution

The fourth proportional to 630,178.90, 945,409.35 and 230,811.70 is: 346,269.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,178.90 : 945,409.35 = 230,811.70 : x
  2. Step 2: Convert to fraction form
    630,178.90/945,409.35 = 230,811.70/x
  3. Step 3: Cross multiply
    630,178.90x = 945,409.35 × 230,811.70
  4. Step 4: Simplify right side
    630,178.90x = 218,211,539,269.40
  5. Step 5: Solve for x
    x = 218,211,539,269.40/630,178.90
  6. Step 6: Final answer
    x = 346,269.19

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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.