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Finding the Fourth Proportional to 698,347.56, 963,692.46 and 426,870

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Solution

The fourth proportional to 698,347.56, 963,692.46 and 426,870 is: 589,063.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,347.56 : 963,692.46 = 426,870 : x
  2. Step 2: Convert to fraction form
    698,347.56/963,692.46 = 426,870/x
  3. Step 3: Cross multiply
    698,347.56x = 963,692.46 × 426,870
  4. Step 4: Simplify right side
    698,347.56x = 411,371,400,400.20
  5. Step 5: Solve for x
    x = 411,371,400,400.20/698,347.56
  6. Step 6: Final answer
    x = 589,063.99

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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.