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Finding the Fourth Proportional to 608,660, 912,811.50 and 229,307

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Solution

The fourth proportional to 608,660, 912,811.50 and 229,307 is: 343,893.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,660 : 912,811.50 = 229,307 : x
  2. Step 2: Convert to fraction form
    608,660/912,811.50 = 229,307/x
  3. Step 3: Cross multiply
    608,660x = 912,811.50 × 229,307
  4. Step 4: Simplify right side
    608,660x = 209,314,066,630.50
  5. Step 5: Solve for x
    x = 209,314,066,630.50/608,660
  6. Step 6: Final answer
    x = 343,893.25

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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.