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Finding the Fourth Proportional to 698,592, 964,056.96 and 380,640

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Solution

The fourth proportional to 698,592, 964,056.96 and 380,640 is: 525,283.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,592 : 964,056.96 = 380,640 : x
  2. Step 2: Convert to fraction form
    698,592/964,056.96 = 380,640/x
  3. Step 3: Cross multiply
    698,592x = 964,056.96 × 380,640
  4. Step 4: Simplify right side
    698,592x = 366,958,641,254.40
  5. Step 5: Solve for x
    x = 366,958,641,254.40/698,592
  6. Step 6: Final answer
    x = 525,283.20

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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.