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Finding the Fourth Proportional to 468,269.61, 646,212 and 253,409.64

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Solution

The fourth proportional to 468,269.61, 646,212 and 253,409.64 is: 349,705.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,269.61 : 646,212 = 253,409.64 : x
  2. Step 2: Convert to fraction form
    468,269.61/646,212 = 253,409.64/x
  3. Step 3: Cross multiply
    468,269.61x = 646,212 × 253,409.64
  4. Step 4: Simplify right side
    468,269.61x = 163,756,350,283.68
  5. Step 5: Solve for x
    x = 163,756,350,283.68/468,269.61
  6. Step 6: Final answer
    x = 349,705.27

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1.5x scale

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.