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Finding the Fourth Proportional to 316,907.64, 475,041.42 and 198,661.86

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Solution

The fourth proportional to 316,907.64, 475,041.42 and 198,661.86 is: 297,792.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,907.64 : 475,041.42 = 198,661.86 : x
  2. Step 2: Convert to fraction form
    316,907.64/475,041.42 = 198,661.86/x
  3. Step 3: Cross multiply
    316,907.64x = 475,041.42 × 198,661.86
  4. Step 4: Simplify right side
    316,907.64x = 94,372,612,074.24
  5. Step 5: Solve for x
    x = 94,372,612,074.24/316,907.64
  6. Step 6: Final answer
    x = 297,792.16

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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.