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Finding the Fourth Proportional to 698,552, 964,001.76 and 380,600

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Solution

The fourth proportional to 698,552, 964,001.76 and 380,600 is: 525,228

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,552 : 964,001.76 = 380,600 : x
  2. Step 2: Convert to fraction form
    698,552/964,001.76 = 380,600/x
  3. Step 3: Cross multiply
    698,552x = 964,001.76 × 380,600
  4. Step 4: Simplify right side
    698,552x = 366,899,069,856
  5. Step 5: Solve for x
    x = 366,899,069,856/698,552
  6. Step 6: Final answer
    x = 525,228

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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.