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Finding the Fourth Proportional to 702,802.46, 969,866.10 and 380,512.50

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Solution

The fourth proportional to 702,802.46, 969,866.10 and 380,512.50 is: 525,106.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,802.46 : 969,866.10 = 380,512.50 : x
  2. Step 2: Convert to fraction form
    702,802.46/969,866.10 = 380,512.50/x
  3. Step 3: Cross multiply
    702,802.46x = 969,866.10 × 380,512.50
  4. Step 4: Simplify right side
    702,802.46x = 369,046,174,376.25
  5. Step 5: Solve for x
    x = 369,046,174,376.25/702,802.46
  6. Step 6: Final answer
    x = 525,106.55

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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.