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Finding the Fourth Proportional to 401,065.56, 553,722.14 and 258,074.10

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Solution

The fourth proportional to 401,065.56, 553,722.14 and 258,074.10 is: 356,304.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,065.56 : 553,722.14 = 258,074.10 : x
  2. Step 2: Convert to fraction form
    401,065.56/553,722.14 = 258,074.10/x
  3. Step 3: Cross multiply
    401,065.56x = 553,722.14 × 258,074.10
  4. Step 4: Simplify right side
    401,065.56x = 142,901,343,575.76
  5. Step 5: Solve for x
    x = 142,901,343,575.76/401,065.56
  6. Step 6: Final answer
    x = 356,304.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.