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Finding the Fourth Proportional to 657,005.34, 906,668.46 and 355,199.34

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Solution

The fourth proportional to 657,005.34, 906,668.46 and 355,199.34 is: 490,175.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,005.34 : 906,668.46 = 355,199.34 : x
  2. Step 2: Convert to fraction form
    657,005.34/906,668.46 = 355,199.34/x
  3. Step 3: Cross multiply
    657,005.34x = 906,668.46 × 355,199.34
  4. Step 4: Simplify right side
    657,005.34x = 322,048,038,590.82
  5. Step 5: Solve for x
    x = 322,048,038,590.82/657,005.34
  6. Step 6: Final answer
    x = 490,175.68

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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.