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Finding the Fourth Proportional to 657,314, 907,093.64 and 355,507.92

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Solution

The fourth proportional to 657,314, 907,093.64 and 355,507.92 is: 490,601.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,314 : 907,093.64 = 355,507.92 : x
  2. Step 2: Convert to fraction form
    657,314/907,093.64 = 355,507.92/x
  3. Step 3: Cross multiply
    657,314x = 907,093.64 × 355,507.92
  4. Step 4: Simplify right side
    657,314x = 322,478,973,201.63
  5. Step 5: Solve for x
    x = 322,478,973,201.63/657,314
  6. Step 6: Final answer
    x = 490,601.10

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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.