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Finding the Fourth Proportional to 698,488.28, 963,745.67 and 407,935.07

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Solution

The fourth proportional to 698,488.28, 963,745.67 and 407,935.07 is: 562,852.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,488.28 : 963,745.67 = 407,935.07 : x
  2. Step 2: Convert to fraction form
    698,488.28/963,745.67 = 407,935.07/x
  3. Step 3: Cross multiply
    698,488.28x = 963,745.67 × 407,935.07
  4. Step 4: Simplify right side
    698,488.28x = 393,145,655,313.97
  5. Step 5: Solve for x
    x = 393,145,655,313.97/698,488.28
  6. Step 6: Final answer
    x = 562,852.19

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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.