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Finding the Fourth Proportional to 420,784.71, 580,506.74 and 257,317.40

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Solution

The fourth proportional to 420,784.71, 580,506.74 and 257,317.40 is: 354,990.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,784.71 : 580,506.74 = 257,317.40 : x
  2. Step 2: Convert to fraction form
    420,784.71/580,506.74 = 257,317.40/x
  3. Step 3: Cross multiply
    420,784.71x = 580,506.74 × 257,317.40
  4. Step 4: Simplify right side
    420,784.71x = 149,374,485,019.28
  5. Step 5: Solve for x
    x = 149,374,485,019.28/420,784.71
  6. Step 6: Final answer
    x = 354,990.29

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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.