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Finding the Fourth Proportional to 256,911, 354,417.42 and 166,296.12

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Solution

The fourth proportional to 256,911, 354,417.42 and 166,296.12 is: 229,411.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,911 : 354,417.42 = 166,296.12 : x
  2. Step 2: Convert to fraction form
    256,911/354,417.42 = 166,296.12/x
  3. Step 3: Cross multiply
    256,911x = 354,417.42 × 166,296.12
  4. Step 4: Simplify right side
    256,911x = 58,938,241,806.41
  5. Step 5: Solve for x
    x = 58,938,241,806.41/256,911
  6. Step 6: Final answer
    x = 229,411.13

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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.