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Finding the Fourth Proportional to 518,376.72, 715,273.14 and 288,883.74

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Solution

The fourth proportional to 518,376.72, 715,273.14 and 288,883.74 is: 398,611.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,376.72 : 715,273.14 = 288,883.74 : x
  2. Step 2: Convert to fraction form
    518,376.72/715,273.14 = 288,883.74/x
  3. Step 3: Cross multiply
    518,376.72x = 715,273.14 × 288,883.74
  4. Step 4: Simplify right side
    518,376.72x = 206,630,779,804.74
  5. Step 5: Solve for x
    x = 206,630,779,804.74/518,376.72
  6. Step 6: Final answer
    x = 398,611.23

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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.