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Finding the Fourth Proportional to 657,451.94, 907,214.55 and 381,755.91

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Solution

The fourth proportional to 657,451.94, 907,214.55 and 381,755.91 is: 526,783.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,451.94 : 907,214.55 = 381,755.91 : x
  2. Step 2: Convert to fraction form
    657,451.94/907,214.55 = 381,755.91/x
  3. Step 3: Cross multiply
    657,451.94x = 907,214.55 × 381,755.91
  4. Step 4: Simplify right side
    657,451.94x = 346,334,516,100.49
  5. Step 5: Solve for x
    x = 346,334,516,100.49/657,451.94
  6. Step 6: Final answer
    x = 526,783.02

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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.