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Finding the Fourth Proportional to 553,306.99, 830,724.52 and 382,126.86

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Solution

The fourth proportional to 553,306.99, 830,724.52 and 382,126.86 is: 573,717.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,306.99 : 830,724.52 = 382,126.86 : x
  2. Step 2: Convert to fraction form
    553,306.99/830,724.52 = 382,126.86/x
  3. Step 3: Cross multiply
    553,306.99x = 830,724.52 × 382,126.86
  4. Step 4: Simplify right side
    553,306.99x = 317,442,152,352.61
  5. Step 5: Solve for x
    x = 317,442,152,352.61/553,306.99
  6. Step 6: Final answer
    x = 573,717.95

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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.