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Finding the Fourth Proportional to 389,430.40, 583,915.20 and 202,806.40

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Solution

The fourth proportional to 389,430.40, 583,915.20 and 202,806.40 is: 304,089.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,430.40 : 583,915.20 = 202,806.40 : x
  2. Step 2: Convert to fraction form
    389,430.40/583,915.20 = 202,806.40/x
  3. Step 3: Cross multiply
    389,430.40x = 583,915.20 × 202,806.40
  4. Step 4: Simplify right side
    389,430.40x = 118,421,739,617.28
  5. Step 5: Solve for x
    x = 118,421,739,617.28/389,430.40
  6. Step 6: Final answer
    x = 304,089.61

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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.