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Finding the Fourth Proportional to 646,762, 969,407.30 and 393,484.19

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Solution

The fourth proportional to 646,762, 969,407.30 and 393,484.19 is: 589,778.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,762 : 969,407.30 = 393,484.19 : x
  2. Step 2: Convert to fraction form
    646,762/969,407.30 = 393,484.19/x
  3. Step 3: Cross multiply
    646,762x = 969,407.30 × 393,484.19
  4. Step 4: Simplify right side
    646,762x = 381,446,446,220.59
  5. Step 5: Solve for x
    x = 381,446,446,220.59/646,762
  6. Step 6: Final answer
    x = 589,778.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.