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Finding the Fourth Proportional to 419,455.44, 578,345.40 and 342,690.12

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Solution

The fourth proportional to 419,455.44, 578,345.40 and 342,690.12 is: 472,501.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,455.44 : 578,345.40 = 342,690.12 : x
  2. Step 2: Convert to fraction form
    419,455.44/578,345.40 = 342,690.12/x
  3. Step 3: Cross multiply
    419,455.44x = 578,345.40 × 342,690.12
  4. Step 4: Simplify right side
    419,455.44x = 198,193,254,527.45
  5. Step 5: Solve for x
    x = 198,193,254,527.45/419,455.44
  6. Step 6: Final answer
    x = 472,501.33

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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.