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Finding the Fourth Proportional to 456,139.80, 684,209.70 and 306,840.60

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Solution

The fourth proportional to 456,139.80, 684,209.70 and 306,840.60 is: 460,260.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,139.80 : 684,209.70 = 306,840.60 : x
  2. Step 2: Convert to fraction form
    456,139.80/684,209.70 = 306,840.60/x
  3. Step 3: Cross multiply
    456,139.80x = 684,209.70 × 306,840.60
  4. Step 4: Simplify right side
    456,139.80x = 209,943,314,873.82
  5. Step 5: Solve for x
    x = 209,943,314,873.82/456,139.80
  6. Step 6: Final answer
    x = 460,260.90

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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.