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Finding the Fourth Proportional to 688,406.44, 949,235.05 and 470,650.60

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Solution

The fourth proportional to 688,406.44, 949,235.05 and 470,650.60 is: 648,974.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,406.44 : 949,235.05 = 470,650.60 : x
  2. Step 2: Convert to fraction form
    688,406.44/949,235.05 = 470,650.60/x
  3. Step 3: Cross multiply
    688,406.44x = 949,235.05 × 470,650.60
  4. Step 4: Simplify right side
    688,406.44x = 446,758,045,823.53
  5. Step 5: Solve for x
    x = 446,758,045,823.53/688,406.44
  6. Step 6: Final answer
    x = 648,974.24

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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.