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Finding the Fourth Proportional to 419,341.35, 578,675.86 and 256,270.67

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Solution

The fourth proportional to 419,341.35, 578,675.86 and 256,270.67 is: 353,644.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,341.35 : 578,675.86 = 256,270.67 : x
  2. Step 2: Convert to fraction form
    419,341.35/578,675.86 = 256,270.67/x
  3. Step 3: Cross multiply
    419,341.35x = 578,675.86 × 256,270.67
  4. Step 4: Simplify right side
    419,341.35x = 148,297,649,714.35
  5. Step 5: Solve for x
    x = 148,297,649,714.35/419,341.35
  6. Step 6: Final answer
    x = 353,644.23

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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.