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Finding the Fourth Proportional to 405,438.36, 607,489.60 and 139,052.66

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Solution

The fourth proportional to 405,438.36, 607,489.60 and 139,052.66 is: 208,349.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,438.36 : 607,489.60 = 139,052.66 : x
  2. Step 2: Convert to fraction form
    405,438.36/607,489.60 = 139,052.66/x
  3. Step 3: Cross multiply
    405,438.36x = 607,489.60 × 139,052.66
  4. Step 4: Simplify right side
    405,438.36x = 84,473,044,802.34
  5. Step 5: Solve for x
    x = 84,473,044,802.34/405,438.36
  6. Step 6: Final answer
    x = 208,349.91

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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.