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Finding the Fourth Proportional to 703,210.55, 970,410.56 and 412,817.45

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Solution

The fourth proportional to 703,210.55, 970,410.56 and 412,817.45 is: 569,676.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,210.55 : 970,410.56 = 412,817.45 : x
  2. Step 2: Convert to fraction form
    703,210.55/970,410.56 = 412,817.45/x
  3. Step 3: Cross multiply
    703,210.55x = 970,410.56 × 412,817.45
  4. Step 4: Simplify right side
    703,210.55x = 400,602,405,916.13
  5. Step 5: Solve for x
    x = 400,602,405,916.13/703,210.55
  6. Step 6: Final answer
    x = 569,676.33

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Double scale
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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.