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Finding the Fourth Proportional to 698,550, 963,999 and 380,598

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Solution

The fourth proportional to 698,550, 963,999 and 380,598 is: 525,225.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,550 : 963,999 = 380,598 : x
  2. Step 2: Convert to fraction form
    698,550/963,999 = 380,598/x
  3. Step 3: Cross multiply
    698,550x = 963,999 × 380,598
  4. Step 4: Simplify right side
    698,550x = 366,896,091,402
  5. Step 5: Solve for x
    x = 366,896,091,402/698,550
  6. Step 6: Final answer
    x = 525,225.24

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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.