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Finding the Fourth Proportional to 463,769.34, 640,314.62 and 289,605.62

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Solution

The fourth proportional to 463,769.34, 640,314.62 and 289,605.62 is: 399,851.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,769.34 : 640,314.62 = 289,605.62 : x
  2. Step 2: Convert to fraction form
    463,769.34/640,314.62 = 289,605.62/x
  3. Step 3: Cross multiply
    463,769.34x = 640,314.62 × 289,605.62
  4. Step 4: Simplify right side
    463,769.34x = 185,438,712,520.16
  5. Step 5: Solve for x
    x = 185,438,712,520.16/463,769.34
  6. Step 6: Final answer
    x = 399,851.17

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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.