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Finding the Fourth Proportional to 306,491.36, 459,347.70 and 137,831.54

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Solution

The fourth proportional to 306,491.36, 459,347.70 and 137,831.54 is: 206,572.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,491.36 : 459,347.70 = 137,831.54 : x
  2. Step 2: Convert to fraction form
    306,491.36/459,347.70 = 137,831.54/x
  3. Step 3: Cross multiply
    306,491.36x = 459,347.70 × 137,831.54
  4. Step 4: Simplify right side
    306,491.36x = 63,312,600,886.46
  5. Step 5: Solve for x
    x = 63,312,600,886.46/306,491.36
  6. Step 6: Final answer
    x = 206,572.22

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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.