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Finding the Fourth Proportional to 518,182.98, 715,073.62 and 288,728.40

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Solution

The fourth proportional to 518,182.98, 715,073.62 and 288,728.40 is: 398,434.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,182.98 : 715,073.62 = 288,728.40 : x
  2. Step 2: Convert to fraction form
    518,182.98/715,073.62 = 288,728.40/x
  3. Step 3: Cross multiply
    518,182.98x = 715,073.62 × 288,728.40
  4. Step 4: Simplify right side
    518,182.98x = 206,462,062,184.81
  5. Step 5: Solve for x
    x = 206,462,062,184.81/518,182.98
  6. Step 6: Final answer
    x = 398,434.67

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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.