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Finding the Fourth Proportional to 514,228.40, 770,030.40 and 409,252.40

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Solution

The fourth proportional to 514,228.40, 770,030.40 and 409,252.40 is: 612,834.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,228.40 : 770,030.40 = 409,252.40 : x
  2. Step 2: Convert to fraction form
    514,228.40/770,030.40 = 409,252.40/x
  3. Step 3: Cross multiply
    514,228.40x = 770,030.40 × 409,252.40
  4. Step 4: Simplify right side
    514,228.40x = 315,136,789,272.96
  5. Step 5: Solve for x
    x = 315,136,789,272.96/514,228.40
  6. Step 6: Final answer
    x = 612,834.28

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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.