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Finding the Fourth Proportional to 543,280.18, 749,646.72 and 301,564.60

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Solution

The fourth proportional to 543,280.18, 749,646.72 and 301,564.60 is: 416,114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,280.18 : 749,646.72 = 301,564.60 : x
  2. Step 2: Convert to fraction form
    543,280.18/749,646.72 = 301,564.60/x
  3. Step 3: Cross multiply
    543,280.18x = 749,646.72 × 301,564.60
  4. Step 4: Simplify right side
    543,280.18x = 226,066,913,258.11
  5. Step 5: Solve for x
    x = 226,066,913,258.11/543,280.18
  6. Step 6: Final answer
    x = 416,114.78

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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.