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Finding the Fourth Proportional to 657,038.73, 906,714.77 and 355,232.73

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Solution

The fourth proportional to 657,038.73, 906,714.77 and 355,232.73 is: 490,221.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,038.73 : 906,714.77 = 355,232.73 : x
  2. Step 2: Convert to fraction form
    657,038.73/906,714.77 = 355,232.73/x
  3. Step 3: Cross multiply
    657,038.73x = 906,714.77 × 355,232.73
  4. Step 4: Simplify right side
    657,038.73x = 322,094,761,302.26
  5. Step 5: Solve for x
    x = 322,094,761,302.26/657,038.73
  6. Step 6: Final answer
    x = 490,221.88

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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.