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Finding the Fourth Proportional to 298,809.40, 448,214.10 and 286,999.60

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Solution

The fourth proportional to 298,809.40, 448,214.10 and 286,999.60 is: 430,499.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,809.40 : 448,214.10 = 286,999.60 : x
  2. Step 2: Convert to fraction form
    298,809.40/448,214.10 = 286,999.60/x
  3. Step 3: Cross multiply
    298,809.40x = 448,214.10 × 286,999.60
  4. Step 4: Simplify right side
    298,809.40x = 128,637,267,414.36
  5. Step 5: Solve for x
    x = 128,637,267,414.36/298,809.40
  6. Step 6: Final answer
    x = 430,499.40

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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.