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Finding the Fourth Proportional to 657,495.24, 907,341.54 and 355,689

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Solution

The fourth proportional to 657,495.24, 907,341.54 and 355,689 is: 490,849.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,495.24 : 907,341.54 = 355,689 : x
  2. Step 2: Convert to fraction form
    657,495.24/907,341.54 = 355,689/x
  3. Step 3: Cross multiply
    657,495.24x = 907,341.54 × 355,689
  4. Step 4: Simplify right side
    657,495.24x = 322,731,405,021.06
  5. Step 5: Solve for x
    x = 322,731,405,021.06/657,495.24
  6. Step 6: Final answer
    x = 490,849.80

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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.