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Finding the Fourth Proportional to 464,457, 640,958.10 and 260,553.40

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Solution

The fourth proportional to 464,457, 640,958.10 and 260,553.40 is: 359,567.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,457 : 640,958.10 = 260,553.40 : x
  2. Step 2: Convert to fraction form
    464,457/640,958.10 = 260,553.40/x
  3. Step 3: Cross multiply
    464,457x = 640,958.10 × 260,553.40
  4. Step 4: Simplify right side
    464,457x = 167,003,812,212.54
  5. Step 5: Solve for x
    x = 167,003,812,212.54/464,457
  6. Step 6: Final answer
    x = 359,567.87

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1.5x scale

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.