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Finding the Fourth Proportional to 703,205.91, 970,428.82 and 380,916.01

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Solution

The fourth proportional to 703,205.91, 970,428.82 and 380,916.01 is: 525,666.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,205.91 : 970,428.82 = 380,916.01 : x
  2. Step 2: Convert to fraction form
    703,205.91/970,428.82 = 380,916.01/x
  3. Step 3: Cross multiply
    703,205.91x = 970,428.82 × 380,916.01
  4. Step 4: Simplify right side
    703,205.91x = 369,651,874,103.41
  5. Step 5: Solve for x
    x = 369,651,874,103.41/703,205.91
  6. Step 6: Final answer
    x = 525,666.62

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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.