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Finding the Fourth Proportional to 385,840.40, 578,760.60 and 136,547.60

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Solution

The fourth proportional to 385,840.40, 578,760.60 and 136,547.60 is: 204,821.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,840.40 : 578,760.60 = 136,547.60 : x
  2. Step 2: Convert to fraction form
    385,840.40/578,760.60 = 136,547.60/x
  3. Step 3: Cross multiply
    385,840.40x = 578,760.60 × 136,547.60
  4. Step 4: Simplify right side
    385,840.40x = 79,028,370,904.56
  5. Step 5: Solve for x
    x = 79,028,370,904.56/385,840.40
  6. Step 6: Final answer
    x = 204,821.40

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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.