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Finding the Fourth Proportional to 438,792.41, 657,005.91 and 286,612.64

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Solution

The fourth proportional to 438,792.41, 657,005.91 and 286,612.64 is: 429,146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,792.41 : 657,005.91 = 286,612.64 : x
  2. Step 2: Convert to fraction form
    438,792.41/657,005.91 = 286,612.64/x
  3. Step 3: Cross multiply
    438,792.41x = 657,005.91 × 286,612.64
  4. Step 4: Simplify right side
    438,792.41x = 188,306,198,928.42
  5. Step 5: Solve for x
    x = 188,306,198,928.42/438,792.41
  6. Step 6: Final answer
    x = 429,146.43

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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.