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Finding the Fourth Proportional to 702,838.56, 969,912.80 and 380,547.66

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Solution

The fourth proportional to 702,838.56, 969,912.80 and 380,547.66 is: 525,153.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,838.56 : 969,912.80 = 380,547.66 : x
  2. Step 2: Convert to fraction form
    702,838.56/969,912.80 = 380,547.66/x
  3. Step 3: Cross multiply
    702,838.56x = 969,912.80 × 380,547.66
  4. Step 4: Simplify right side
    702,838.56x = 369,098,044,541.31
  5. Step 5: Solve for x
    x = 369,098,044,541.31/702,838.56
  6. Step 6: Final answer
    x = 525,153.38

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1.5x scale

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.