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Finding the Fourth Proportional to 353,831.85, 488,909.75 and 282,798.09

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Solution

The fourth proportional to 353,831.85, 488,909.75 and 282,798.09 is: 390,758.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,831.85 : 488,909.75 = 282,798.09 : x
  2. Step 2: Convert to fraction form
    353,831.85/488,909.75 = 282,798.09/x
  3. Step 3: Cross multiply
    353,831.85x = 488,909.75 × 282,798.09
  4. Step 4: Simplify right side
    353,831.85x = 138,262,742,068.39
  5. Step 5: Solve for x
    x = 138,262,742,068.39/353,831.85
  6. Step 6: Final answer
    x = 390,758.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.