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Finding the Fourth Proportional to 406,947.30, 610,420.95 and 328,215.30

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Solution

The fourth proportional to 406,947.30, 610,420.95 and 328,215.30 is: 492,322.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,947.30 : 610,420.95 = 328,215.30 : x
  2. Step 2: Convert to fraction form
    406,947.30/610,420.95 = 328,215.30/x
  3. Step 3: Cross multiply
    406,947.30x = 610,420.95 × 328,215.30
  4. Step 4: Simplify right side
    406,947.30x = 200,349,495,230.54
  5. Step 5: Solve for x
    x = 200,349,495,230.54/406,947.30
  6. Step 6: Final answer
    x = 492,322.95

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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.