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Finding the Fourth Proportional to 328,405.18, 492,802.32 and 138,855.18

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Solution

The fourth proportional to 328,405.18, 492,802.32 and 138,855.18 is: 208,365.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,405.18 : 492,802.32 = 138,855.18 : x
  2. Step 2: Convert to fraction form
    328,405.18/492,802.32 = 138,855.18/x
  3. Step 3: Cross multiply
    328,405.18x = 492,802.32 × 138,855.18
  4. Step 4: Simplify right side
    328,405.18x = 68,428,154,848.02
  5. Step 5: Solve for x
    x = 68,428,154,848.02/328,405.18
  6. Step 6: Final answer
    x = 208,365.03

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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.