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Finding the Fourth Proportional to 407,873.41, 611,810.30 and 155,095.50

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Solution

The fourth proportional to 407,873.41, 611,810.30 and 155,095.50 is: 232,643.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,873.41 : 611,810.30 = 155,095.50 : x
  2. Step 2: Convert to fraction form
    407,873.41/611,810.30 = 155,095.50/x
  3. Step 3: Cross multiply
    407,873.41x = 611,810.30 × 155,095.50
  4. Step 4: Simplify right side
    407,873.41x = 94,889,024,383.65
  5. Step 5: Solve for x
    x = 94,889,024,383.65/407,873.41
  6. Step 6: Final answer
    x = 232,643.32

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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.