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Finding the Fourth Proportional to 420,669, 579,920.34 and 259,415.82

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Solution

The fourth proportional to 420,669, 579,920.34 and 259,415.82 is: 357,622.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,669 : 579,920.34 = 259,415.82 : x
  2. Step 2: Convert to fraction form
    420,669/579,920.34 = 259,415.82/x
  3. Step 3: Cross multiply
    420,669x = 579,920.34 × 259,415.82
  4. Step 4: Simplify right side
    420,669x = 150,440,510,535.78
  5. Step 5: Solve for x
    x = 150,440,510,535.78/420,669
  6. Step 6: Final answer
    x = 357,622.05

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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.