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Finding the Fourth Proportional to 907,856, 1,361,784 and 243,008

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Solution

The fourth proportional to 907,856, 1,361,784 and 243,008 is: 364,512

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,856 : 1,361,784 = 243,008 : x
  2. Step 2: Convert to fraction form
    907,856/1,361,784 = 243,008/x
  3. Step 3: Cross multiply
    907,856x = 1,361,784 × 243,008
  4. Step 4: Simplify right side
    907,856x = 330,924,406,272
  5. Step 5: Solve for x
    x = 330,924,406,272/907,856
  6. Step 6: Final answer
    x = 364,512

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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.