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Finding the Fourth Proportional to 401,312.18, 602,030.42 and 135,051.90

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Solution

The fourth proportional to 401,312.18, 602,030.42 and 135,051.90 is: 202,598.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,312.18 : 602,030.42 = 135,051.90 : x
  2. Step 2: Convert to fraction form
    401,312.18/602,030.42 = 135,051.90/x
  3. Step 3: Cross multiply
    401,312.18x = 602,030.42 × 135,051.90
  4. Step 4: Simplify right side
    401,312.18x = 81,305,351,403.54
  5. Step 5: Solve for x
    x = 81,305,351,403.54/401,312.18
  6. Step 6: Final answer
    x = 202,598.77

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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.