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Finding the Fourth Proportional to 389,701.80, 583,386.30 and 347,711.40

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Solution

The fourth proportional to 389,701.80, 583,386.30 and 347,711.40 is: 520,526.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,701.80 : 583,386.30 = 347,711.40 : x
  2. Step 2: Convert to fraction form
    389,701.80/583,386.30 = 347,711.40/x
  3. Step 3: Cross multiply
    389,701.80x = 583,386.30 × 347,711.40
  4. Step 4: Simplify right side
    389,701.80x = 202,850,067,113.82
  5. Step 5: Solve for x
    x = 202,850,067,113.82/389,701.80
  6. Step 6: Final answer
    x = 520,526.38

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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.