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Finding the Fourth Proportional to 545,415, 752,706.89 and 300,399.71

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Solution

The fourth proportional to 545,415, 752,706.89 and 300,399.71 is: 414,570.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,415 : 752,706.89 = 300,399.71 : x
  2. Step 2: Convert to fraction form
    545,415/752,706.89 = 300,399.71/x
  3. Step 3: Cross multiply
    545,415x = 752,706.89 × 300,399.71
  4. Step 4: Simplify right side
    545,415x = 226,112,931,471.00
  5. Step 5: Solve for x
    x = 226,112,931,471.00/545,415
  6. Step 6: Final answer
    x = 414,570.43

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1.5x scale

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.