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Finding the Fourth Proportional to 389,430.80, 583,973.40 and 178,960.40

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Solution

The fourth proportional to 389,430.80, 583,973.40 and 178,960.40 is: 268,361.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,430.80 : 583,973.40 = 178,960.40 : x
  2. Step 2: Convert to fraction form
    389,430.80/583,973.40 = 178,960.40/x
  3. Step 3: Cross multiply
    389,430.80x = 583,973.40 × 178,960.40
  4. Step 4: Simplify right side
    389,430.80x = 104,508,113,253.36
  5. Step 5: Solve for x
    x = 104,508,113,253.36/389,430.80
  6. Step 6: Final answer
    x = 268,361.19

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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.