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Finding the Fourth Proportional to 650,435.78, 975,653.65 and 428,767.94

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Solution

The fourth proportional to 650,435.78, 975,653.65 and 428,767.94 is: 643,151.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,435.78 : 975,653.65 = 428,767.94 : x
  2. Step 2: Convert to fraction form
    650,435.78/975,653.65 = 428,767.94/x
  3. Step 3: Cross multiply
    650,435.78x = 975,653.65 × 428,767.94
  4. Step 4: Simplify right side
    650,435.78x = 418,329,005,663.98
  5. Step 5: Solve for x
    x = 418,329,005,663.98/650,435.78
  6. Step 6: Final answer
    x = 643,151.90

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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.