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Finding the Fourth Proportional to 559,262.34, 771,783.21 and 304,612.74

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Solution

The fourth proportional to 559,262.34, 771,783.21 and 304,612.74 is: 420,366.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,262.34 : 771,783.21 = 304,612.74 : x
  2. Step 2: Convert to fraction form
    559,262.34/771,783.21 = 304,612.74/x
  3. Step 3: Cross multiply
    559,262.34x = 771,783.21 × 304,612.74
  4. Step 4: Simplify right side
    559,262.34x = 235,094,998,284.10
  5. Step 5: Solve for x
    x = 235,094,998,284.10/559,262.34
  6. Step 6: Final answer
    x = 420,366.22

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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.