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Finding the Fourth Proportional to 274,208.10, 411,312.15 and 256,493.40

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Solution

The fourth proportional to 274,208.10, 411,312.15 and 256,493.40 is: 384,740.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,208.10 : 411,312.15 = 256,493.40 : x
  2. Step 2: Convert to fraction form
    274,208.10/411,312.15 = 256,493.40/x
  3. Step 3: Cross multiply
    274,208.10x = 411,312.15 × 256,493.40
  4. Step 4: Simplify right side
    274,208.10x = 105,498,851,814.81
  5. Step 5: Solve for x
    x = 105,498,851,814.81/274,208.10
  6. Step 6: Final answer
    x = 384,740.10

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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.