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Finding the Fourth Proportional to 401,774.40, 602,661.60 and 102,254.40

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Solution

The fourth proportional to 401,774.40, 602,661.60 and 102,254.40 is: 153,381.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,774.40 : 602,661.60 = 102,254.40 : x
  2. Step 2: Convert to fraction form
    401,774.40/602,661.60 = 102,254.40/x
  3. Step 3: Cross multiply
    401,774.40x = 602,661.60 × 102,254.40
  4. Step 4: Simplify right side
    401,774.40x = 61,624,800,311.04
  5. Step 5: Solve for x
    x = 61,624,800,311.04/401,774.40
  6. Step 6: Final answer
    x = 153,381.60

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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.