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Finding the Fourth Proportional to 464,045, 640,690.98 and 356,423

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Solution

The fourth proportional to 464,045, 640,690.98 and 356,423 is: 492,100.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,045 : 640,690.98 = 356,423 : x
  2. Step 2: Convert to fraction form
    464,045/640,690.98 = 356,423/x
  3. Step 3: Cross multiply
    464,045x = 640,690.98 × 356,423
  4. Step 4: Simplify right side
    464,045x = 228,357,001,164.54
  5. Step 5: Solve for x
    x = 228,357,001,164.54/464,045
  6. Step 6: Final answer
    x = 492,100.98

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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.