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Finding the Fourth Proportional to 657,041.60, 906,716.64 and 355,234.88

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Solution

The fourth proportional to 657,041.60, 906,716.64 and 355,234.88 is: 490,223.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,041.60 : 906,716.64 = 355,234.88 : x
  2. Step 2: Convert to fraction form
    657,041.60/906,716.64 = 355,234.88/x
  3. Step 3: Cross multiply
    657,041.60x = 906,716.64 × 355,234.88
  4. Step 4: Simplify right side
    657,041.60x = 322,097,376,804.40
  5. Step 5: Solve for x
    x = 322,097,376,804.40/657,041.60
  6. Step 6: Final answer
    x = 490,223.72

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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.