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Finding the Fourth Proportional to 551,674.35, 761,311.27 and 309,956.78

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Solution

The fourth proportional to 551,674.35, 761,311.27 and 309,956.78 is: 427,740.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,674.35 : 761,311.27 = 309,956.78 : x
  2. Step 2: Convert to fraction form
    551,674.35/761,311.27 = 309,956.78/x
  3. Step 3: Cross multiply
    551,674.35x = 761,311.27 × 309,956.78
  4. Step 4: Simplify right side
    551,674.35x = 235,973,592,117.64
  5. Step 5: Solve for x
    x = 235,973,592,117.64/551,674.35
  6. Step 6: Final answer
    x = 427,740.74

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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.