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Finding the Fourth Proportional to 407,426.58, 611,172.54 and 154,828.08

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Solution

The fourth proportional to 407,426.58, 611,172.54 and 154,828.08 is: 232,254.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,426.58 : 611,172.54 = 154,828.08 : x
  2. Step 2: Convert to fraction form
    407,426.58/611,172.54 = 154,828.08/x
  3. Step 3: Cross multiply
    407,426.58x = 611,172.54 × 154,828.08
  4. Step 4: Simplify right side
    407,426.58x = 94,626,670,916.92
  5. Step 5: Solve for x
    x = 94,626,670,916.92/407,426.58
  6. Step 6: Final answer
    x = 232,254.54

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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.