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Finding the Fourth Proportional to 402,189.93, 603,281.16 and 102,666.33

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Solution

The fourth proportional to 402,189.93, 603,281.16 and 102,666.33 is: 153,998.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,189.93 : 603,281.16 = 102,666.33 : x
  2. Step 2: Convert to fraction form
    402,189.93/603,281.16 = 102,666.33/x
  3. Step 3: Cross multiply
    402,189.93x = 603,281.16 × 102,666.33
  4. Step 4: Simplify right side
    402,189.93x = 61,936,662,655.34
  5. Step 5: Solve for x
    x = 61,936,662,655.34/402,189.93
  6. Step 6: Final answer
    x = 153,998.54

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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.