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Finding the Fourth Proportional to 698,133.59, 963,502.37 and 422,643.25

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Solution

The fourth proportional to 698,133.59, 963,502.37 and 422,643.25 is: 583,294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,133.59 : 963,502.37 = 422,643.25 : x
  2. Step 2: Convert to fraction form
    698,133.59/963,502.37 = 422,643.25/x
  3. Step 3: Cross multiply
    698,133.59x = 963,502.37 × 422,643.25
  4. Step 4: Simplify right side
    698,133.59x = 407,217,771,687.36
  5. Step 5: Solve for x
    x = 407,217,771,687.36/698,133.59
  6. Step 6: Final answer
    x = 583,294.91

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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.