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Finding the Fourth Proportional to 298,023.60, 446,916.60 and 98,288.40

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Solution

The fourth proportional to 298,023.60, 446,916.60 and 98,288.40 is: 147,393.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,023.60 : 446,916.60 = 98,288.40 : x
  2. Step 2: Convert to fraction form
    298,023.60/446,916.60 = 98,288.40/x
  3. Step 3: Cross multiply
    298,023.60x = 446,916.60 × 98,288.40
  4. Step 4: Simplify right side
    298,023.60x = 43,926,717,547.44
  5. Step 5: Solve for x
    x = 43,926,717,547.44/298,023.60
  6. Step 6: Final answer
    x = 147,393.42

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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.