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Finding the Fourth Proportional to 316,839.26, 437,626.62 and 256,478.06

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Solution

The fourth proportional to 316,839.26, 437,626.62 and 256,478.06 is: 354,254.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,839.26 : 437,626.62 = 256,478.06 : x
  2. Step 2: Convert to fraction form
    316,839.26/437,626.62 = 256,478.06/x
  3. Step 3: Cross multiply
    316,839.26x = 437,626.62 × 256,478.06
  4. Step 4: Simplify right side
    316,839.26x = 112,241,626,501.96
  5. Step 5: Solve for x
    x = 112,241,626,501.96/316,839.26
  6. Step 6: Final answer
    x = 354,254.16

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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.