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Finding the Fourth Proportional to 664,139.84, 916,709.28 and 463,000.64

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Solution

The fourth proportional to 664,139.84, 916,709.28 and 463,000.64 is: 639,077.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,139.84 : 916,709.28 = 463,000.64 : x
  2. Step 2: Convert to fraction form
    664,139.84/916,709.28 = 463,000.64/x
  3. Step 3: Cross multiply
    664,139.84x = 916,709.28 × 463,000.64
  4. Step 4: Simplify right side
    664,139.84x = 424,436,983,333.94
  5. Step 5: Solve for x
    x = 424,436,983,333.94/664,139.84
  6. Step 6: Final answer
    x = 639,077.73

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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.