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Finding the Fourth Proportional to 489,281.64, 675,106.02 and 319,764.84

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Solution

The fourth proportional to 489,281.64, 675,106.02 and 319,764.84 is: 441,208.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,281.64 : 675,106.02 = 319,764.84 : x
  2. Step 2: Convert to fraction form
    489,281.64/675,106.02 = 319,764.84/x
  3. Step 3: Cross multiply
    489,281.64x = 675,106.02 × 319,764.84
  4. Step 4: Simplify right side
    489,281.64x = 215,875,168,468.34
  5. Step 5: Solve for x
    x = 215,875,168,468.34/489,281.64
  6. Step 6: Final answer
    x = 441,208.40

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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.