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Finding the Fourth Proportional to 288,078.40, 432,117.60 and 238,214.80

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Solution

The fourth proportional to 288,078.40, 432,117.60 and 238,214.80 is: 357,322.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,078.40 : 432,117.60 = 238,214.80 : x
  2. Step 2: Convert to fraction form
    288,078.40/432,117.60 = 238,214.80/x
  3. Step 3: Cross multiply
    288,078.40x = 432,117.60 × 238,214.80
  4. Step 4: Simplify right side
    288,078.40x = 102,936,807,660.48
  5. Step 5: Solve for x
    x = 102,936,807,660.48/288,078.40
  6. Step 6: Final answer
    x = 357,322.20

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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.