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Finding the Fourth Proportional to 645,807.84, 968,712.58 and 308,769.28

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Solution

The fourth proportional to 645,807.84, 968,712.58 and 308,769.28 is: 463,154.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,807.84 : 968,712.58 = 308,769.28 : x
  2. Step 2: Convert to fraction form
    645,807.84/968,712.58 = 308,769.28/x
  3. Step 3: Cross multiply
    645,807.84x = 968,712.58 × 308,769.28
  4. Step 4: Simplify right side
    645,807.84x = 299,108,685,853.54
  5. Step 5: Solve for x
    x = 299,108,685,853.54/645,807.84
  6. Step 6: Final answer
    x = 463,154.31

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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.