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Finding the Fourth Proportional to 405,203.50, 607,831.17 and 155,885.50

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Solution

The fourth proportional to 405,203.50, 607,831.17 and 155,885.50 is: 233,838.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,203.50 : 607,831.17 = 155,885.50 : x
  2. Step 2: Convert to fraction form
    405,203.50/607,831.17 = 155,885.50/x
  3. Step 3: Cross multiply
    405,203.50x = 607,831.17 × 155,885.50
  4. Step 4: Simplify right side
    405,203.50x = 94,752,065,851.04
  5. Step 5: Solve for x
    x = 94,752,065,851.04/405,203.50
  6. Step 6: Final answer
    x = 233,838.22

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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.