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Finding the Fourth Proportional to 461,107.20, 689,587.20 and 386,457.60

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Solution

The fourth proportional to 461,107.20, 689,587.20 and 386,457.60 is: 577,948.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,107.20 : 689,587.20 = 386,457.60 : x
  2. Step 2: Convert to fraction form
    461,107.20/689,587.20 = 386,457.60/x
  3. Step 3: Cross multiply
    461,107.20x = 689,587.20 × 386,457.60
  4. Step 4: Simplify right side
    461,107.20x = 266,496,214,302.72
  5. Step 5: Solve for x
    x = 266,496,214,302.72/461,107.20
  6. Step 6: Final answer
    x = 577,948.50

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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.