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Finding the Fourth Proportional to 657,584, 907,465.92 and 355,778

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Solution

The fourth proportional to 657,584, 907,465.92 and 355,778 is: 490,973.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,584 : 907,465.92 = 355,778 : x
  2. Step 2: Convert to fraction form
    657,584/907,465.92 = 355,778/x
  3. Step 3: Cross multiply
    657,584x = 907,465.92 × 355,778
  4. Step 4: Simplify right side
    657,584x = 322,856,410,085.76
  5. Step 5: Solve for x
    x = 322,856,410,085.76/657,584
  6. Step 6: Final answer
    x = 490,973.64

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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.