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Finding the Fourth Proportional to 302,077.80, 416,763.54 and 187,315.20

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Solution

The fourth proportional to 302,077.80, 416,763.54 and 187,315.20 is: 258,430.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,077.80 : 416,763.54 = 187,315.20 : x
  2. Step 2: Convert to fraction form
    302,077.80/416,763.54 = 187,315.20/x
  3. Step 3: Cross multiply
    302,077.80x = 416,763.54 × 187,315.20
  4. Step 4: Simplify right side
    302,077.80x = 78,066,145,847.81
  5. Step 5: Solve for x
    x = 78,066,145,847.81/302,077.80
  6. Step 6: Final answer
    x = 258,430.60

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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.