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Finding the Fourth Proportional to 698,482.41, 963,909.58 and 408,111.03

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Solution

The fourth proportional to 698,482.41, 963,909.58 and 408,111.03 is: 563,195.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,482.41 : 963,909.58 = 408,111.03 : x
  2. Step 2: Convert to fraction form
    698,482.41/963,909.58 = 408,111.03/x
  3. Step 3: Cross multiply
    698,482.41x = 963,909.58 × 408,111.03
  4. Step 4: Simplify right side
    698,482.41x = 393,382,131,520.67
  5. Step 5: Solve for x
    x = 393,382,131,520.67/698,482.41
  6. Step 6: Final answer
    x = 563,195.47

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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.