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Finding the Fourth Proportional to 390,776.50, 539,271.57 and 221,006.98

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Solution

The fourth proportional to 390,776.50, 539,271.57 and 221,006.98 is: 304,989.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,776.50 : 539,271.57 = 221,006.98 : x
  2. Step 2: Convert to fraction form
    390,776.50/539,271.57 = 221,006.98/x
  3. Step 3: Cross multiply
    390,776.50x = 539,271.57 × 221,006.98
  4. Step 4: Simplify right side
    390,776.50x = 119,182,781,085.56
  5. Step 5: Solve for x
    x = 119,182,781,085.56/390,776.50
  6. Step 6: Final answer
    x = 304,989.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.