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Finding the Fourth Proportional to 540,152.64, 745,418.46 and 298,440.78

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Solution

The fourth proportional to 540,152.64, 745,418.46 and 298,440.78 is: 411,852.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,152.64 : 745,418.46 = 298,440.78 : x
  2. Step 2: Convert to fraction form
    540,152.64/745,418.46 = 298,440.78/x
  3. Step 3: Cross multiply
    540,152.64x = 745,418.46 × 298,440.78
  4. Step 4: Simplify right side
    540,152.64x = 222,463,266,628.80
  5. Step 5: Solve for x
    x = 222,463,266,628.80/540,152.64
  6. Step 6: Final answer
    x = 411,852.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.