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Finding the Fourth Proportional to 642,263.84, 886,312.50 and 355,783.04

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Solution

The fourth proportional to 642,263.84, 886,312.50 and 355,783.04 is: 490,974.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,263.84 : 886,312.50 = 355,783.04 : x
  2. Step 2: Convert to fraction form
    642,263.84/886,312.50 = 355,783.04/x
  3. Step 3: Cross multiply
    642,263.84x = 886,312.50 × 355,783.04
  4. Step 4: Simplify right side
    642,263.84x = 315,334,955,640
  5. Step 5: Solve for x
    x = 315,334,955,640/642,263.84
  6. Step 6: Final answer
    x = 490,974.17

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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.