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Finding the Fourth Proportional to 419,035.12, 578,281.52 and 237,754.68

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Solution

The fourth proportional to 419,035.12, 578,281.52 and 237,754.68 is: 328,108.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,035.12 : 578,281.52 = 237,754.68 : x
  2. Step 2: Convert to fraction form
    419,035.12/578,281.52 = 237,754.68/x
  3. Step 3: Cross multiply
    419,035.12x = 578,281.52 × 237,754.68
  4. Step 4: Simplify right side
    419,035.12x = 137,489,137,737.51
  5. Step 5: Solve for x
    x = 137,489,137,737.51/419,035.12
  6. Step 6: Final answer
    x = 328,108.87

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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.