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Finding the Fourth Proportional to 340,489.25, 510,732.50 and 103,831.25

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Solution

The fourth proportional to 340,489.25, 510,732.50 and 103,831.25 is: 155,746.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,489.25 : 510,732.50 = 103,831.25 : x
  2. Step 2: Convert to fraction form
    340,489.25/510,732.50 = 103,831.25/x
  3. Step 3: Cross multiply
    340,489.25x = 510,732.50 × 103,831.25
  4. Step 4: Simplify right side
    340,489.25x = 53,029,991,207.17
  5. Step 5: Solve for x
    x = 53,029,991,207.17/340,489.25
  6. Step 6: Final answer
    x = 155,746.45

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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.