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Finding the Fourth Proportional to 228,533.08, 315,338.16 and 143,590

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Solution

The fourth proportional to 228,533.08, 315,338.16 and 143,590 is: 198,130.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,533.08 : 315,338.16 = 143,590 : x
  2. Step 2: Convert to fraction form
    228,533.08/315,338.16 = 143,590/x
  3. Step 3: Cross multiply
    228,533.08x = 315,338.16 × 143,590
  4. Step 4: Simplify right side
    228,533.08x = 45,279,406,394.40
  5. Step 5: Solve for x
    x = 45,279,406,394.40/228,533.08
  6. Step 6: Final answer
    x = 198,130.64

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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.