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Finding the Fourth Proportional to 657,817.60, 986,434.80 and 302,648.80

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Solution

The fourth proportional to 657,817.60, 986,434.80 and 302,648.80 is: 453,839.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,817.60 : 986,434.80 = 302,648.80 : x
  2. Step 2: Convert to fraction form
    657,817.60/986,434.80 = 302,648.80/x
  3. Step 3: Cross multiply
    657,817.60x = 986,434.80 × 302,648.80
  4. Step 4: Simplify right side
    657,817.60x = 298,543,308,498.24
  5. Step 5: Solve for x
    x = 298,543,308,498.24/657,817.60
  6. Step 6: Final answer
    x = 453,839.04

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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.