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Finding the Fourth Proportional to 432,653.70, 596,218.59 and 311,566.20

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Solution

The fourth proportional to 432,653.70, 596,218.59 and 311,566.20 is: 429,353.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,653.70 : 596,218.59 = 311,566.20 : x
  2. Step 2: Convert to fraction form
    432,653.70/596,218.59 = 311,566.20/x
  3. Step 3: Cross multiply
    432,653.70x = 596,218.59 × 311,566.20
  4. Step 4: Simplify right side
    432,653.70x = 185,761,560,455.66
  5. Step 5: Solve for x
    x = 185,761,560,455.66/432,653.70
  6. Step 6: Final answer
    x = 429,353.92

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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.