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Finding the Fourth Proportional to 389,901.60, 584,852.40 and 353,743.20

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Solution

The fourth proportional to 389,901.60, 584,852.40 and 353,743.20 is: 530,614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,901.60 : 584,852.40 = 353,743.20 : x
  2. Step 2: Convert to fraction form
    389,901.60/584,852.40 = 353,743.20/x
  3. Step 3: Cross multiply
    389,901.60x = 584,852.40 × 353,743.20
  4. Step 4: Simplify right side
    389,901.60x = 206,887,559,503.68
  5. Step 5: Solve for x
    x = 206,887,559,503.68/389,901.60
  6. Step 6: Final answer
    x = 530,614.80

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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.