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Finding the Fourth Proportional to 389,655.60, 584,440.20 and 319,412.40

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Solution

The fourth proportional to 389,655.60, 584,440.20 and 319,412.40 is: 479,083.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,655.60 : 584,440.20 = 319,412.40 : x
  2. Step 2: Convert to fraction form
    389,655.60/584,440.20 = 319,412.40/x
  3. Step 3: Cross multiply
    389,655.60x = 584,440.20 × 319,412.40
  4. Step 4: Simplify right side
    389,655.60x = 186,677,446,938.48
  5. Step 5: Solve for x
    x = 186,677,446,938.48/389,655.60
  6. Step 6: Final answer
    x = 479,083.19

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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.