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Finding the Fourth Proportional to 299,302.61, 448,953.93 and 199,657.40

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Solution

The fourth proportional to 299,302.61, 448,953.93 and 199,657.40 is: 299,486.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,302.61 : 448,953.93 = 199,657.40 : x
  2. Step 2: Convert to fraction form
    299,302.61/448,953.93 = 199,657.40/x
  3. Step 3: Cross multiply
    299,302.61x = 448,953.93 × 199,657.40
  4. Step 4: Simplify right side
    299,302.61x = 89,636,972,138.81
  5. Step 5: Solve for x
    x = 89,636,972,138.81/299,302.61
  6. Step 6: Final answer
    x = 299,486.11

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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.