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Finding the Fourth Proportional to 640,513.64, 959,993.52 and 470,457.08

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Solution

The fourth proportional to 640,513.64, 959,993.52 and 470,457.08 is: 705,114.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,513.64 : 959,993.52 = 470,457.08 : x
  2. Step 2: Convert to fraction form
    640,513.64/959,993.52 = 470,457.08/x
  3. Step 3: Cross multiply
    640,513.64x = 959,993.52 × 470,457.08
  4. Step 4: Simplify right side
    640,513.64x = 451,635,748,238.12
  5. Step 5: Solve for x
    x = 451,635,748,238.12/640,513.64
  6. Step 6: Final answer
    x = 705,114.96

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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.