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Finding the Fourth Proportional to 256,280.80, 384,421.20 and 243,450.40

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Solution

The fourth proportional to 256,280.80, 384,421.20 and 243,450.40 is: 365,175.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,280.80 : 384,421.20 = 243,450.40 : x
  2. Step 2: Convert to fraction form
    256,280.80/384,421.20 = 243,450.40/x
  3. Step 3: Cross multiply
    256,280.80x = 384,421.20 × 243,450.40
  4. Step 4: Simplify right side
    256,280.80x = 93,587,494,908.48
  5. Step 5: Solve for x
    x = 93,587,494,908.48/256,280.80
  6. Step 6: Final answer
    x = 365,175.60

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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.