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Finding the Fourth Proportional to 1,550,842, 2,326,263 and 428,911

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Solution

The fourth proportional to 1,550,842, 2,326,263 and 428,911 is: 643,366.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550,842 : 2,326,263 = 428,911 : x
  2. Step 2: Convert to fraction form
    1,550,842/2,326,263 = 428,911/x
  3. Step 3: Cross multiply
    1,550,842x = 2,326,263 × 428,911
  4. Step 4: Simplify right side
    1,550,842x = 997,759,789,593
  5. Step 5: Solve for x
    x = 997,759,789,593/1,550,842
  6. Step 6: Final answer
    x = 643,366.50

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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.