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Finding the Fourth Proportional to 464,274.70, 640,426.96 and 291,919.51

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Solution

The fourth proportional to 464,274.70, 640,426.96 and 291,919.51 is: 402,677.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,274.70 : 640,426.96 = 291,919.51 : x
  2. Step 2: Convert to fraction form
    464,274.70/640,426.96 = 291,919.51/x
  3. Step 3: Cross multiply
    464,274.70x = 640,426.96 × 291,919.51
  4. Step 4: Simplify right side
    464,274.70x = 186,953,121,175.57
  5. Step 5: Solve for x
    x = 186,953,121,175.57/464,274.70
  6. Step 6: Final answer
    x = 402,677.81

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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.