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Finding the Fourth Proportional to 260,184.77, 390,424.78 and 102,523.94

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Solution

The fourth proportional to 260,184.77, 390,424.78 and 102,523.94 is: 153,844.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,184.77 : 390,424.78 = 102,523.94 : x
  2. Step 2: Convert to fraction form
    260,184.77/390,424.78 = 102,523.94/x
  3. Step 3: Cross multiply
    260,184.77x = 390,424.78 × 102,523.94
  4. Step 4: Simplify right side
    260,184.77x = 40,027,886,547.96
  5. Step 5: Solve for x
    x = 40,027,886,547.96/260,184.77
  6. Step 6: Final answer
    x = 153,844.08

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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.