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Finding the Fourth Proportional to 498,455.40, 747,683.10 and 459,964.20

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Solution

The fourth proportional to 498,455.40, 747,683.10 and 459,964.20 is: 689,946.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,455.40 : 747,683.10 = 459,964.20 : x
  2. Step 2: Convert to fraction form
    498,455.40/747,683.10 = 459,964.20/x
  3. Step 3: Cross multiply
    498,455.40x = 747,683.10 × 459,964.20
  4. Step 4: Simplify right side
    498,455.40x = 343,907,458,945.02
  5. Step 5: Solve for x
    x = 343,907,458,945.02/498,455.40
  6. Step 6: Final answer
    x = 689,946.30

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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.