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Finding the Fourth Proportional to 645,428.61, 890,664 and 355,021.74

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Solution

The fourth proportional to 645,428.61, 890,664 and 355,021.74 is: 489,914.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,428.61 : 890,664 = 355,021.74 : x
  2. Step 2: Convert to fraction form
    645,428.61/890,664 = 355,021.74/x
  3. Step 3: Cross multiply
    645,428.61x = 890,664 × 355,021.74
  4. Step 4: Simplify right side
    645,428.61x = 316,205,083,035.36
  5. Step 5: Solve for x
    x = 316,205,083,035.36/645,428.61
  6. Step 6: Final answer
    x = 489,914.88

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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.