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Finding the Fourth Proportional to 481,570, 719,426.40 and 311,706.48

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Solution

The fourth proportional to 481,570, 719,426.40 and 311,706.48 is: 465,664.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,570 : 719,426.40 = 311,706.48 : x
  2. Step 2: Convert to fraction form
    481,570/719,426.40 = 311,706.48/x
  3. Step 3: Cross multiply
    481,570x = 719,426.40 × 311,706.48
  4. Step 4: Simplify right side
    481,570x = 224,249,870,763.07
  5. Step 5: Solve for x
    x = 224,249,870,763.07/481,570
  6. Step 6: Final answer
    x = 465,664.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.