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Finding the Fourth Proportional to 464,046, 640,692.36 and 356,424

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Solution

The fourth proportional to 464,046, 640,692.36 and 356,424 is: 492,102.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,046 : 640,692.36 = 356,424 : x
  2. Step 2: Convert to fraction form
    464,046/640,692.36 = 356,424/x
  3. Step 3: Cross multiply
    464,046x = 640,692.36 × 356,424
  4. Step 4: Simplify right side
    464,046x = 228,358,133,720.64
  5. Step 5: Solve for x
    x = 228,358,133,720.64/464,046
  6. Step 6: Final answer
    x = 492,102.36

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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.