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Finding the Fourth Proportional to 456,090.40, 684,135.60 and 288,128.80

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Solution

The fourth proportional to 456,090.40, 684,135.60 and 288,128.80 is: 432,193.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,090.40 : 684,135.60 = 288,128.80 : x
  2. Step 2: Convert to fraction form
    456,090.40/684,135.60 = 288,128.80/x
  3. Step 3: Cross multiply
    456,090.40x = 684,135.60 × 288,128.80
  4. Step 4: Simplify right side
    456,090.40x = 197,119,169,465.28
  5. Step 5: Solve for x
    x = 197,119,169,465.28/456,090.40
  6. Step 6: Final answer
    x = 432,193.20

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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.