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Finding the Fourth Proportional to 657,142.34, 906,883.90 and 415,337.09

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Solution

The fourth proportional to 657,142.34, 906,883.90 and 415,337.09 is: 573,182.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,142.34 : 906,883.90 = 415,337.09 : x
  2. Step 2: Convert to fraction form
    657,142.34/906,883.90 = 415,337.09/x
  3. Step 3: Cross multiply
    657,142.34x = 906,883.90 × 415,337.09
  4. Step 4: Simplify right side
    657,142.34x = 376,662,514,421.09
  5. Step 5: Solve for x
    x = 376,662,514,421.09/657,142.34
  6. Step 6: Final answer
    x = 573,182.54

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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.