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Finding the Fourth Proportional to 302,065.47, 416,746.53 and 187,302.78

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Solution

The fourth proportional to 302,065.47, 416,746.53 and 187,302.78 is: 258,413.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,065.47 : 416,746.53 = 187,302.78 : x
  2. Step 2: Convert to fraction form
    302,065.47/416,746.53 = 187,302.78/x
  3. Step 3: Cross multiply
    302,065.47x = 416,746.53 × 187,302.78
  4. Step 4: Simplify right side
    302,065.47x = 78,057,783,624.35
  5. Step 5: Solve for x
    x = 78,057,783,624.35/302,065.47
  6. Step 6: Final answer
    x = 258,413.46

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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.