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Finding the Fourth Proportional to 509,840.90, 764,711.52 and 154,858

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Solution

The fourth proportional to 509,840.90, 764,711.52 and 154,858 is: 232,271.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,840.90 : 764,711.52 = 154,858 : x
  2. Step 2: Convert to fraction form
    509,840.90/764,711.52 = 154,858/x
  3. Step 3: Cross multiply
    509,840.90x = 764,711.52 × 154,858
  4. Step 4: Simplify right side
    509,840.90x = 118,421,696,564.16
  5. Step 5: Solve for x
    x = 118,421,696,564.16/509,840.90
  6. Step 6: Final answer
    x = 232,271.86

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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.