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Finding the Fourth Proportional to 657,985.60, 987,208.80 and 284,276.80

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Solution

The fourth proportional to 657,985.60, 987,208.80 and 284,276.80 is: 426,514.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,985.60 : 987,208.80 = 284,276.80 : x
  2. Step 2: Convert to fraction form
    657,985.60/987,208.80 = 284,276.80/x
  3. Step 3: Cross multiply
    657,985.60x = 987,208.80 × 284,276.80
  4. Step 4: Simplify right side
    657,985.60x = 280,640,558,595.84
  5. Step 5: Solve for x
    x = 280,640,558,595.84/657,985.60
  6. Step 6: Final answer
    x = 426,514.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.