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Finding the Fourth Proportional to 298,002.75, 446,708.88 and 139,948.26

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Solution

The fourth proportional to 298,002.75, 446,708.88 and 139,948.26 is: 209,783.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,002.75 : 446,708.88 = 139,948.26 : x
  2. Step 2: Convert to fraction form
    298,002.75/446,708.88 = 139,948.26/x
  3. Step 3: Cross multiply
    298,002.75x = 446,708.88 × 139,948.26
  4. Step 4: Simplify right side
    298,002.75x = 62,516,130,482.55
  5. Step 5: Solve for x
    x = 62,516,130,482.55/298,002.75
  6. Step 6: Final answer
    x = 209,783.74

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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.