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Finding the Fourth Proportional to 700,083, 966,119.40 and 398,277

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Solution

The fourth proportional to 700,083, 966,119.40 and 398,277 is: 549,625.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,083 : 966,119.40 = 398,277 : x
  2. Step 2: Convert to fraction form
    700,083/966,119.40 = 398,277/x
  3. Step 3: Cross multiply
    700,083x = 966,119.40 × 398,277
  4. Step 4: Simplify right side
    700,083x = 384,783,136,273.80
  5. Step 5: Solve for x
    x = 384,783,136,273.80/700,083
  6. Step 6: Final answer
    x = 549,625.02

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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.