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Finding the Fourth Proportional to 439,714.80, 659,831.40 and 290,386.80

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Solution

The fourth proportional to 439,714.80, 659,831.40 and 290,386.80 is: 435,751.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,714.80 : 659,831.40 = 290,386.80 : x
  2. Step 2: Convert to fraction form
    439,714.80/659,831.40 = 290,386.80/x
  3. Step 3: Cross multiply
    439,714.80x = 659,831.40 × 290,386.80
  4. Step 4: Simplify right side
    439,714.80x = 191,606,328,785.52
  5. Step 5: Solve for x
    x = 191,606,328,785.52/439,714.80
  6. Step 6: Final answer
    x = 435,751.38

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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.