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Finding the Fourth Proportional to 518,349, 715,328.82 and 288,899.94

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Solution

The fourth proportional to 518,349, 715,328.82 and 288,899.94 is: 398,685.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,349 : 715,328.82 = 288,899.94 : x
  2. Step 2: Convert to fraction form
    518,349/715,328.82 = 288,899.94/x
  3. Step 3: Cross multiply
    518,349x = 715,328.82 × 288,899.94
  4. Step 4: Simplify right side
    518,349x = 206,658,453,178.27
  5. Step 5: Solve for x
    x = 206,658,453,178.27/518,349
  6. Step 6: Final answer
    x = 398,685.93

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1.5x scale

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.