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Finding the Fourth Proportional to 698,602.50, 964,071.46 and 380,650.50

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Solution

The fourth proportional to 698,602.50, 964,071.46 and 380,650.50 is: 525,297.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,602.50 : 964,071.46 = 380,650.50 : x
  2. Step 2: Convert to fraction form
    698,602.50/964,071.46 = 380,650.50/x
  3. Step 3: Cross multiply
    698,602.50x = 964,071.46 × 380,650.50
  4. Step 4: Simplify right side
    698,602.50x = 366,974,283,284.73
  5. Step 5: Solve for x
    x = 366,974,283,284.73/698,602.50
  6. Step 6: Final answer
    x = 525,297.70

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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.