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Finding the Fourth Proportional to 657,882.12, 907,780.70 and 367,457.90

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Solution

The fourth proportional to 657,882.12, 907,780.70 and 367,457.90 is: 507,037.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,882.12 : 907,780.70 = 367,457.90 : x
  2. Step 2: Convert to fraction form
    657,882.12/907,780.70 = 367,457.90/x
  3. Step 3: Cross multiply
    657,882.12x = 907,780.70 × 367,457.90
  4. Step 4: Simplify right side
    657,882.12x = 333,571,192,870.63
  5. Step 5: Solve for x
    x = 333,571,192,870.63/657,882.12
  6. Step 6: Final answer
    x = 507,037.94

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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.