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Finding the Fourth Proportional to 657,657.50, 907,568.16 and 355,851.50

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Solution

The fourth proportional to 657,657.50, 907,568.16 and 355,851.50 is: 491,075.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,657.50 : 907,568.16 = 355,851.50 : x
  2. Step 2: Convert to fraction form
    657,657.50/907,568.16 = 355,851.50/x
  3. Step 3: Cross multiply
    657,657.50x = 907,568.16 × 355,851.50
  4. Step 4: Simplify right side
    657,657.50x = 322,959,491,088.24
  5. Step 5: Solve for x
    x = 322,959,491,088.24/657,657.50
  6. Step 6: Final answer
    x = 491,075.51

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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.