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Finding the Fourth Proportional to 309,608.81, 427,264.75 and 180,543.70

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Solution

The fourth proportional to 309,608.81, 427,264.75 and 180,543.70 is: 249,152.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,608.81 : 427,264.75 = 180,543.70 : x
  2. Step 2: Convert to fraction form
    309,608.81/427,264.75 = 180,543.70/x
  3. Step 3: Cross multiply
    309,608.81x = 427,264.75 × 180,543.70
  4. Step 4: Simplify right side
    309,608.81x = 77,139,957,325.05
  5. Step 5: Solve for x
    x = 77,139,957,325.05/309,608.81
  6. Step 6: Final answer
    x = 249,152.98

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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.