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Finding the Fourth Proportional to 702,430.05, 969,355.98 and 380,140.10

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Solution

The fourth proportional to 702,430.05, 969,355.98 and 380,140.10 is: 524,594.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,430.05 : 969,355.98 = 380,140.10 : x
  2. Step 2: Convert to fraction form
    702,430.05/969,355.98 = 380,140.10/x
  3. Step 3: Cross multiply
    702,430.05x = 969,355.98 × 380,140.10
  4. Step 4: Simplify right side
    702,430.05x = 368,491,079,172.80
  5. Step 5: Solve for x
    x = 368,491,079,172.80/702,430.05
  6. Step 6: Final answer
    x = 524,594.70

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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.