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Finding the Fourth Proportional to 291,831.71, 437,616.34 and 282,646.31

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Solution

The fourth proportional to 291,831.71, 437,616.34 and 282,646.31 is: 423,842.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,831.71 : 437,616.34 = 282,646.31 : x
  2. Step 2: Convert to fraction form
    291,831.71/437,616.34 = 282,646.31/x
  3. Step 3: Cross multiply
    291,831.71x = 437,616.34 × 282,646.31
  4. Step 4: Simplify right side
    291,831.71x = 123,690,640,802.01
  5. Step 5: Solve for x
    x = 123,690,640,802.01/291,831.71
  6. Step 6: Final answer
    x = 423,842.37

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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.