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Finding the Fourth Proportional to 559,644.50, 772,314.88 and 305,001.16

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Solution

The fourth proportional to 559,644.50, 772,314.88 and 305,001.16 is: 420,904.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,644.50 : 772,314.88 = 305,001.16 : x
  2. Step 2: Convert to fraction form
    559,644.50/772,314.88 = 305,001.16/x
  3. Step 3: Cross multiply
    559,644.50x = 772,314.88 × 305,001.16
  4. Step 4: Simplify right side
    559,644.50x = 235,556,930,423.69
  5. Step 5: Solve for x
    x = 235,556,930,423.69/559,644.50
  6. Step 6: Final answer
    x = 420,904.58

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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.