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Finding the Fourth Proportional to 420,466.86, 580,062.24 and 257,130.52

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Solution

The fourth proportional to 420,466.86, 580,062.24 and 257,130.52 is: 354,728.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,466.86 : 580,062.24 = 257,130.52 : x
  2. Step 2: Convert to fraction form
    420,466.86/580,062.24 = 257,130.52/x
  3. Step 3: Cross multiply
    420,466.86x = 580,062.24 × 257,130.52
  4. Step 4: Simplify right side
    420,466.86x = 149,151,703,953.41
  5. Step 5: Solve for x
    x = 149,151,703,953.41/420,466.86
  6. Step 6: Final answer
    x = 354,728.80

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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.