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Finding the Fourth Proportional to 298,935.84, 448,094.70 and 138,881.18

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Solution

The fourth proportional to 298,935.84, 448,094.70 and 138,881.18 is: 208,178.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,935.84 : 448,094.70 = 138,881.18 : x
  2. Step 2: Convert to fraction form
    298,935.84/448,094.70 = 138,881.18/x
  3. Step 3: Cross multiply
    298,935.84x = 448,094.70 × 138,881.18
  4. Step 4: Simplify right side
    298,935.84x = 62,231,920,687.75
  5. Step 5: Solve for x
    x = 62,231,920,687.75/298,935.84
  6. Step 6: Final answer
    x = 208,178.19

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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.