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Finding the Fourth Proportional to 380,047.20, 570,070.80 and 99,592.80

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Solution

The fourth proportional to 380,047.20, 570,070.80 and 99,592.80 is: 149,389.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,047.20 : 570,070.80 = 99,592.80 : x
  2. Step 2: Convert to fraction form
    380,047.20/570,070.80 = 99,592.80/x
  3. Step 3: Cross multiply
    380,047.20x = 570,070.80 × 99,592.80
  4. Step 4: Simplify right side
    380,047.20x = 56,774,947,170.24
  5. Step 5: Solve for x
    x = 56,774,947,170.24/380,047.20
  6. Step 6: Final answer
    x = 149,389.20

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1.5x scale

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.