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Finding the Fourth Proportional to 401,501.40, 601,847.10 and 148,619.40

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Solution

The fourth proportional to 401,501.40, 601,847.10 and 148,619.40 is: 222,779.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,501.40 : 601,847.10 = 148,619.40 : x
  2. Step 2: Convert to fraction form
    401,501.40/601,847.10 = 148,619.40/x
  3. Step 3: Cross multiply
    401,501.40x = 601,847.10 × 148,619.40
  4. Step 4: Simplify right side
    401,501.40x = 89,446,154,893.74
  5. Step 5: Solve for x
    x = 89,446,154,893.74/401,501.40
  6. Step 6: Final answer
    x = 222,779.19

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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.