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Finding the Fourth Proportional to 343,913.40, 515,870.10 and 308,921.40

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Solution

The fourth proportional to 343,913.40, 515,870.10 and 308,921.40 is: 463,382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,913.40 : 515,870.10 = 308,921.40 : x
  2. Step 2: Convert to fraction form
    343,913.40/515,870.10 = 308,921.40/x
  3. Step 3: Cross multiply
    343,913.40x = 515,870.10 × 308,921.40
  4. Step 4: Simplify right side
    343,913.40x = 159,363,313,510.14
  5. Step 5: Solve for x
    x = 159,363,313,510.14/343,913.40
  6. Step 6: Final answer
    x = 463,382.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.