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Finding the Fourth Proportional to 256,304.10, 384,456.15 and 69,315.60

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Solution

The fourth proportional to 256,304.10, 384,456.15 and 69,315.60 is: 103,973.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,304.10 : 384,456.15 = 69,315.60 : x
  2. Step 2: Convert to fraction form
    256,304.10/384,456.15 = 69,315.60/x
  3. Step 3: Cross multiply
    256,304.10x = 384,456.15 × 69,315.60
  4. Step 4: Simplify right side
    256,304.10x = 26,648,808,710.94
  5. Step 5: Solve for x
    x = 26,648,808,710.94/256,304.10
  6. Step 6: Final answer
    x = 103,973.40

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1.5x scale

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.