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Finding the Fourth Proportional to 657,912.16, 907,918.80 and 356,106.40

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Solution

The fourth proportional to 657,912.16, 907,918.80 and 356,106.40 is: 491,426.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,912.16 : 907,918.80 = 356,106.40 : x
  2. Step 2: Convert to fraction form
    657,912.16/907,918.80 = 356,106.40/x
  3. Step 3: Cross multiply
    657,912.16x = 907,918.80 × 356,106.40
  4. Step 4: Simplify right side
    657,912.16x = 323,315,695,360.32
  5. Step 5: Solve for x
    x = 323,315,695,360.32/657,912.16
  6. Step 6: Final answer
    x = 491,426.84

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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.