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Finding the Fourth Proportional to 401,095.32, 553,763.16 and 258,103.86

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Solution

The fourth proportional to 401,095.32, 553,763.16 and 258,103.86 is: 356,345.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,095.32 : 553,763.16 = 258,103.86 : x
  2. Step 2: Convert to fraction form
    401,095.32/553,763.16 = 258,103.86/x
  3. Step 3: Cross multiply
    401,095.32x = 553,763.16 × 258,103.86
  4. Step 4: Simplify right side
    401,095.32x = 142,928,409,121.80
  5. Step 5: Solve for x
    x = 142,928,409,121.80/401,095.32
  6. Step 6: Final answer
    x = 356,345.24

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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.