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Finding the Fourth Proportional to 685,672.80, 1,028,509.20 and 286,310.40

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Solution

The fourth proportional to 685,672.80, 1,028,509.20 and 286,310.40 is: 429,465.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,672.80 : 1,028,509.20 = 286,310.40 : x
  2. Step 2: Convert to fraction form
    685,672.80/1,028,509.20 = 286,310.40/x
  3. Step 3: Cross multiply
    685,672.80x = 1,028,509.20 × 286,310.40
  4. Step 4: Simplify right side
    685,672.80x = 294,472,880,455.68
  5. Step 5: Solve for x
    x = 294,472,880,455.68/685,672.80
  6. Step 6: Final answer
    x = 429,465.60

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Similar ratio
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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.