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Finding the Fourth Proportional to 859,299.52, 1,287,980.52 and 409,652.32

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Solution

The fourth proportional to 859,299.52, 1,287,980.52 and 409,652.32 is: 614,016.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,299.52 : 1,287,980.52 = 409,652.32 : x
  2. Step 2: Convert to fraction form
    859,299.52/1,287,980.52 = 409,652.32/x
  3. Step 3: Cross multiply
    859,299.52x = 1,287,980.52 × 409,652.32
  4. Step 4: Simplify right side
    859,299.52x = 527,624,208,132.81
  5. Step 5: Solve for x
    x = 527,624,208,132.81/859,299.52
  6. Step 6: Final answer
    x = 614,016.64

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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.