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Finding the Fourth Proportional to 645,137.28, 890,291.28 and 358,661.76

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Solution

The fourth proportional to 645,137.28, 890,291.28 and 358,661.76 is: 494,954.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,137.28 : 890,291.28 = 358,661.76 : x
  2. Step 2: Convert to fraction form
    645,137.28/890,291.28 = 358,661.76/x
  3. Step 3: Cross multiply
    645,137.28x = 890,291.28 × 358,661.76
  4. Step 4: Simplify right side
    645,137.28x = 319,313,437,397.45
  5. Step 5: Solve for x
    x = 319,313,437,397.45/645,137.28
  6. Step 6: Final answer
    x = 494,954.25

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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.