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Finding the Fourth Proportional to 657,586, 907,468.68 and 355,780

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Solution

The fourth proportional to 657,586, 907,468.68 and 355,780 is: 490,976.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,586 : 907,468.68 = 355,780 : x
  2. Step 2: Convert to fraction form
    657,586/907,468.68 = 355,780/x
  3. Step 3: Cross multiply
    657,586x = 907,468.68 × 355,780
  4. Step 4: Simplify right side
    657,586x = 322,859,206,970.40
  5. Step 5: Solve for x
    x = 322,859,206,970.40/657,586
  6. Step 6: Final answer
    x = 490,976.40

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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.