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Finding the Fourth Proportional to 540,038.40, 809,409.60 and 224,332.80

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Solution

The fourth proportional to 540,038.40, 809,409.60 and 224,332.80 is: 336,230.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,038.40 : 809,409.60 = 224,332.80 : x
  2. Step 2: Convert to fraction form
    540,038.40/809,409.60 = 224,332.80/x
  3. Step 3: Cross multiply
    540,038.40x = 809,409.60 × 224,332.80
  4. Step 4: Simplify right side
    540,038.40x = 181,577,121,914.88
  5. Step 5: Solve for x
    x = 181,577,121,914.88/540,038.40
  6. Step 6: Final answer
    x = 336,230.02

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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.