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Finding the Fourth Proportional to 477,683, 716,530.65 and 140,647.02

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Solution

The fourth proportional to 477,683, 716,530.65 and 140,647.02 is: 210,972.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,683 : 716,530.65 = 140,647.02 : x
  2. Step 2: Convert to fraction form
    477,683/716,530.65 = 140,647.02/x
  3. Step 3: Cross multiply
    477,683x = 716,530.65 × 140,647.02
  4. Step 4: Simplify right side
    477,683x = 100,777,900,661.16
  5. Step 5: Solve for x
    x = 100,777,900,661.16/477,683
  6. Step 6: Final answer
    x = 210,972.34

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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.