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Finding the Fourth Proportional to 391,123.48, 539,705.74 and 219,017.52

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Solution

The fourth proportional to 391,123.48, 539,705.74 and 219,017.52 is: 302,219.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,123.48 : 539,705.74 = 219,017.52 : x
  2. Step 2: Convert to fraction form
    391,123.48/539,705.74 = 219,017.52/x
  3. Step 3: Cross multiply
    391,123.48x = 539,705.74 × 219,017.52
  4. Step 4: Simplify right side
    391,123.48x = 118,205,012,704.57
  5. Step 5: Solve for x
    x = 118,205,012,704.57/391,123.48
  6. Step 6: Final answer
    x = 302,219.17

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1.5x scale

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.