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Finding the Fourth Proportional to 613,995.40, 847,339.82 and 342,063.16

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Solution

The fourth proportional to 613,995.40, 847,339.82 and 342,063.16 is: 472,061.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,995.40 : 847,339.82 = 342,063.16 : x
  2. Step 2: Convert to fraction form
    613,995.40/847,339.82 = 342,063.16/x
  3. Step 3: Cross multiply
    613,995.40x = 847,339.82 × 342,063.16
  4. Step 4: Simplify right side
    613,995.40x = 289,843,736,423.03
  5. Step 5: Solve for x
    x = 289,843,736,423.03/613,995.40
  6. Step 6: Final answer
    x = 472,061.74

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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.