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Finding the Fourth Proportional to 657,055.76, 906,738.30 and 355,249.76

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Solution

The fourth proportional to 657,055.76, 906,738.30 and 355,249.76 is: 490,245.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,055.76 : 906,738.30 = 355,249.76 : x
  2. Step 2: Convert to fraction form
    657,055.76/906,738.30 = 355,249.76/x
  3. Step 3: Cross multiply
    657,055.76x = 906,738.30 × 355,249.76
  4. Step 4: Simplify right side
    657,055.76x = 322,118,563,457.81
  5. Step 5: Solve for x
    x = 322,118,563,457.81/657,055.76
  6. Step 6: Final answer
    x = 490,245.40

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Double scale
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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.