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Finding the Fourth Proportional to 901,783, 1,352,881.86 and 310,807

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Solution

The fourth proportional to 901,783, 1,352,881.86 and 310,807 is: 466,281.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,783 : 1,352,881.86 = 310,807 : x
  2. Step 2: Convert to fraction form
    901,783/1,352,881.86 = 310,807/x
  3. Step 3: Cross multiply
    901,783x = 1,352,881.86 × 310,807
  4. Step 4: Simplify right side
    901,783x = 420,485,152,261.02
  5. Step 5: Solve for x
    x = 420,485,152,261.02/901,783
  6. Step 6: Final answer
    x = 466,281.97

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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.