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Finding the Fourth Proportional to 311,894, 430,413.21 and 175,927.53

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Solution

The fourth proportional to 311,894, 430,413.21 and 175,927.53 is: 242,779.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,894 : 430,413.21 = 175,927.53 : x
  2. Step 2: Convert to fraction form
    311,894/430,413.21 = 175,927.53/x
  3. Step 3: Cross multiply
    311,894x = 430,413.21 × 175,927.53
  4. Step 4: Simplify right side
    311,894x = 75,721,532,914.67
  5. Step 5: Solve for x
    x = 75,721,532,914.67/311,894
  6. Step 6: Final answer
    x = 242,779.70

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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.