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Finding the Fourth Proportional to 518,480, 715,502.40 and 280,016

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Solution

The fourth proportional to 518,480, 715,502.40 and 280,016 is: 386,422.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,480 : 715,502.40 = 280,016 : x
  2. Step 2: Convert to fraction form
    518,480/715,502.40 = 280,016/x
  3. Step 3: Cross multiply
    518,480x = 715,502.40 × 280,016
  4. Step 4: Simplify right side
    518,480x = 200,352,120,038.40
  5. Step 5: Solve for x
    x = 200,352,120,038.40/518,480
  6. Step 6: Final answer
    x = 386,422.08

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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.