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Finding the Fourth Proportional to 827,830.64, 1,240,707.72 and 353,959.76

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Solution

The fourth proportional to 827,830.64, 1,240,707.72 and 353,959.76 is: 530,495.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,830.64 : 1,240,707.72 = 353,959.76 : x
  2. Step 2: Convert to fraction form
    827,830.64/1,240,707.72 = 353,959.76/x
  3. Step 3: Cross multiply
    827,830.64x = 1,240,707.72 × 353,959.76
  4. Step 4: Simplify right side
    827,830.64x = 439,160,606,801.35
  5. Step 5: Solve for x
    x = 439,160,606,801.35/827,830.64
  6. Step 6: Final answer
    x = 530,495.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.