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Finding the Fourth Proportional to 390,457.73, 585,018.18 and 213,089.33

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Solution

The fourth proportional to 390,457.73, 585,018.18 and 213,089.33 is: 319,269.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,457.73 : 585,018.18 = 213,089.33 : x
  2. Step 2: Convert to fraction form
    390,457.73/585,018.18 = 213,089.33/x
  3. Step 3: Cross multiply
    390,457.73x = 585,018.18 × 213,089.33
  4. Step 4: Simplify right side
    390,457.73x = 124,661,133,476.57
  5. Step 5: Solve for x
    x = 124,661,133,476.57/390,457.73
  6. Step 6: Final answer
    x = 319,269.21

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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.