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Finding the Fourth Proportional to 419,439.72, 578,628.93 and 283,521.12

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Solution

The fourth proportional to 419,439.72, 578,628.93 and 283,521.12 is: 391,125.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,439.72 : 578,628.93 = 283,521.12 : x
  2. Step 2: Convert to fraction form
    419,439.72/578,628.93 = 283,521.12/x
  3. Step 3: Cross multiply
    419,439.72x = 578,628.93 × 283,521.12
  4. Step 4: Simplify right side
    419,439.72x = 164,053,522,298.00
  5. Step 5: Solve for x
    x = 164,053,522,298.00/419,439.72
  6. Step 6: Final answer
    x = 391,125.39

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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.