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Finding the Fourth Proportional to 513,328.46, 708,480.68 and 298,593

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Solution

The fourth proportional to 513,328.46, 708,480.68 and 298,593 is: 412,109.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,328.46 : 708,480.68 = 298,593 : x
  2. Step 2: Convert to fraction form
    513,328.46/708,480.68 = 298,593/x
  3. Step 3: Cross multiply
    513,328.46x = 708,480.68 × 298,593
  4. Step 4: Simplify right side
    513,328.46x = 211,547,370,190.28
  5. Step 5: Solve for x
    x = 211,547,370,190.28/513,328.46
  6. Step 6: Final answer
    x = 412,109.18

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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.