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Finding the Fourth Proportional to 456,094.40, 684,141.60 and 288,132.80

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Solution

The fourth proportional to 456,094.40, 684,141.60 and 288,132.80 is: 432,199.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,094.40 : 684,141.60 = 288,132.80 : x
  2. Step 2: Convert to fraction form
    456,094.40/684,141.60 = 288,132.80/x
  3. Step 3: Cross multiply
    456,094.40x = 684,141.60 × 288,132.80
  4. Step 4: Simplify right side
    456,094.40x = 197,123,634,804.48
  5. Step 5: Solve for x
    x = 197,123,634,804.48/456,094.40
  6. Step 6: Final answer
    x = 432,199.20

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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.