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Finding the Fourth Proportional to 401,999.10, 602,998.65 and 213,042.30

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Solution

The fourth proportional to 401,999.10, 602,998.65 and 213,042.30 is: 319,563.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,999.10 : 602,998.65 = 213,042.30 : x
  2. Step 2: Convert to fraction form
    401,999.10/602,998.65 = 213,042.30/x
  3. Step 3: Cross multiply
    401,999.10x = 602,998.65 × 213,042.30
  4. Step 4: Simplify right side
    401,999.10x = 128,464,219,292.90
  5. Step 5: Solve for x
    x = 128,464,219,292.90/401,999.10
  6. Step 6: Final answer
    x = 319,563.45

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1.5x scale

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.