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Finding the Fourth Proportional to 909,798, 1,364,697 and 318,822

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Solution

The fourth proportional to 909,798, 1,364,697 and 318,822 is: 478,233

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,798 : 1,364,697 = 318,822 : x
  2. Step 2: Convert to fraction form
    909,798/1,364,697 = 318,822/x
  3. Step 3: Cross multiply
    909,798x = 1,364,697 × 318,822
  4. Step 4: Simplify right side
    909,798x = 435,095,426,934
  5. Step 5: Solve for x
    x = 435,095,426,934/909,798
  6. Step 6: Final answer
    x = 478,233

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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.