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Finding the Fourth Proportional to 469,838.07, 648,376.98 and 254,978.19

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Solution

The fourth proportional to 469,838.07, 648,376.98 and 254,978.19 is: 351,870.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,838.07 : 648,376.98 = 254,978.19 : x
  2. Step 2: Convert to fraction form
    469,838.07/648,376.98 = 254,978.19/x
  3. Step 3: Cross multiply
    469,838.07x = 648,376.98 × 254,978.19
  4. Step 4: Simplify right side
    469,838.07x = 165,321,988,798.07
  5. Step 5: Solve for x
    x = 165,321,988,798.07/469,838.07
  6. Step 6: Final answer
    x = 351,870.14

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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.