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Finding the Fourth Proportional to 488,948.40, 733,730.40 and 208,461.60

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Solution

The fourth proportional to 488,948.40, 733,730.40 and 208,461.60 is: 312,823.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,948.40 : 733,730.40 = 208,461.60 : x
  2. Step 2: Convert to fraction form
    488,948.40/733,730.40 = 208,461.60/x
  3. Step 3: Cross multiply
    488,948.40x = 733,730.40 × 208,461.60
  4. Step 4: Simplify right side
    488,948.40x = 152,954,613,152.64
  5. Step 5: Solve for x
    x = 152,954,613,152.64/488,948.40
  6. Step 6: Final answer
    x = 312,823.63

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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.