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Finding the Fourth Proportional to 781,424, 1,078,365.12 and 423,728

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Solution

The fourth proportional to 781,424, 1,078,365.12 and 423,728 is: 584,744.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,424 : 1,078,365.12 = 423,728 : x
  2. Step 2: Convert to fraction form
    781,424/1,078,365.12 = 423,728/x
  3. Step 3: Cross multiply
    781,424x = 1,078,365.12 × 423,728
  4. Step 4: Simplify right side
    781,424x = 456,933,495,567.36
  5. Step 5: Solve for x
    x = 456,933,495,567.36/781,424
  6. Step 6: Final answer
    x = 584,744.64

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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.