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Finding the Fourth Proportional to 314,784.64, 472,176.32 and 98,660

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Solution

The fourth proportional to 314,784.64, 472,176.32 and 98,660 is: 147,989.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,784.64 : 472,176.32 = 98,660 : x
  2. Step 2: Convert to fraction form
    314,784.64/472,176.32 = 98,660/x
  3. Step 3: Cross multiply
    314,784.64x = 472,176.32 × 98,660
  4. Step 4: Simplify right side
    314,784.64x = 46,584,915,731.20
  5. Step 5: Solve for x
    x = 46,584,915,731.20/314,784.64
  6. Step 6: Final answer
    x = 147,989.80

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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.