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Finding the Fourth Proportional to 514,303.28, 709,730.60 and 287,956.88

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Solution

The fourth proportional to 514,303.28, 709,730.60 and 287,956.88 is: 397,376.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,303.28 : 709,730.60 = 287,956.88 : x
  2. Step 2: Convert to fraction form
    514,303.28/709,730.60 = 287,956.88/x
  3. Step 3: Cross multiply
    514,303.28x = 709,730.60 × 287,956.88
  4. Step 4: Simplify right side
    514,303.28x = 204,371,809,216.53
  5. Step 5: Solve for x
    x = 204,371,809,216.53/514,303.28
  6. Step 6: Final answer
    x = 397,376.06

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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.