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Finding the Fourth Proportional to 389,275.79, 583,705.49 and 199,658.79

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Solution

The fourth proportional to 389,275.79, 583,705.49 and 199,658.79 is: 299,381.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,275.79 : 583,705.49 = 199,658.79 : x
  2. Step 2: Convert to fraction form
    389,275.79/583,705.49 = 199,658.79/x
  3. Step 3: Cross multiply
    389,275.79x = 583,705.49 × 199,658.79
  4. Step 4: Simplify right side
    389,275.79x = 116,541,930,851.46
  5. Step 5: Solve for x
    x = 116,541,930,851.46/389,275.79
  6. Step 6: Final answer
    x = 299,381.40

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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.