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Finding the Fourth Proportional to 654,044.40, 978,733.80 and 453,423.60

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Solution

The fourth proportional to 654,044.40, 978,733.80 and 453,423.60 is: 678,518.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,044.40 : 978,733.80 = 453,423.60 : x
  2. Step 2: Convert to fraction form
    654,044.40/978,733.80 = 453,423.60/x
  3. Step 3: Cross multiply
    654,044.40x = 978,733.80 × 453,423.60
  4. Step 4: Simplify right side
    654,044.40x = 443,781,003,037.68
  5. Step 5: Solve for x
    x = 443,781,003,037.68/654,044.40
  6. Step 6: Final answer
    x = 678,518.16

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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.