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Finding the Fourth Proportional to 518,820.30, 778,339.80 and 163,870.20

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Solution

The fourth proportional to 518,820.30, 778,339.80 and 163,870.20 is: 245,839.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,820.30 : 778,339.80 = 163,870.20 : x
  2. Step 2: Convert to fraction form
    518,820.30/778,339.80 = 163,870.20/x
  3. Step 3: Cross multiply
    518,820.30x = 778,339.80 × 163,870.20
  4. Step 4: Simplify right side
    518,820.30x = 127,546,698,693.96
  5. Step 5: Solve for x
    x = 127,546,698,693.96/518,820.30
  6. Step 6: Final answer
    x = 245,839.84

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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.