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Finding the Fourth Proportional to 413,807.70, 620,711.55 and 245,846.10

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Solution

The fourth proportional to 413,807.70, 620,711.55 and 245,846.10 is: 368,769.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,807.70 : 620,711.55 = 245,846.10 : x
  2. Step 2: Convert to fraction form
    413,807.70/620,711.55 = 245,846.10/x
  3. Step 3: Cross multiply
    413,807.70x = 620,711.55 × 245,846.10
  4. Step 4: Simplify right side
    413,807.70x = 152,599,513,792.46
  5. Step 5: Solve for x
    x = 152,599,513,792.46/413,807.70
  6. Step 6: Final answer
    x = 368,769.15

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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.