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Finding the Fourth Proportional to 405,283.47, 607,937.49 and 139,040.13

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Solution

The fourth proportional to 405,283.47, 607,937.49 and 139,040.13 is: 208,564.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,283.47 : 607,937.49 = 139,040.13 : x
  2. Step 2: Convert to fraction form
    405,283.47/607,937.49 = 139,040.13/x
  3. Step 3: Cross multiply
    405,283.47x = 607,937.49 × 139,040.13
  4. Step 4: Simplify right side
    405,283.47x = 84,527,707,641.47
  5. Step 5: Solve for x
    x = 84,527,707,641.47/405,283.47
  6. Step 6: Final answer
    x = 208,564.41

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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.