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Finding the Fourth Proportional to 909,099, 1,254,595.50 and 506,691

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Solution

The fourth proportional to 909,099, 1,254,595.50 and 506,691 is: 699,255.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,099 : 1,254,595.50 = 506,691 : x
  2. Step 2: Convert to fraction form
    909,099/1,254,595.50 = 506,691/x
  3. Step 3: Cross multiply
    909,099x = 1,254,595.50 × 506,691
  4. Step 4: Simplify right side
    909,099x = 635,692,248,490.50
  5. Step 5: Solve for x
    x = 635,692,248,490.50/909,099
  6. Step 6: Final answer
    x = 699,255.25

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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.