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Finding the Fourth Proportional to 670,665.42, 925,297.83 and 415,967.40

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Solution

The fourth proportional to 670,665.42, 925,297.83 and 415,967.40 is: 573,898.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,665.42 : 925,297.83 = 415,967.40 : x
  2. Step 2: Convert to fraction form
    670,665.42/925,297.83 = 415,967.40/x
  3. Step 3: Cross multiply
    670,665.42x = 925,297.83 × 415,967.40
  4. Step 4: Simplify right side
    670,665.42x = 384,893,732,570.74
  5. Step 5: Solve for x
    x = 384,893,732,570.74/670,665.42
  6. Step 6: Final answer
    x = 573,898.28

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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.