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Finding the Fourth Proportional to 618,896.16, 926,768.70 and 407,894.40

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Solution

The fourth proportional to 618,896.16, 926,768.70 and 407,894.40 is: 610,803.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,896.16 : 926,768.70 = 407,894.40 : x
  2. Step 2: Convert to fraction form
    618,896.16/926,768.70 = 407,894.40/x
  3. Step 3: Cross multiply
    618,896.16x = 926,768.70 × 407,894.40
  4. Step 4: Simplify right side
    618,896.16x = 378,023,762,825.28
  5. Step 5: Solve for x
    x = 378,023,762,825.28/618,896.16
  6. Step 6: Final answer
    x = 610,803.21

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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.