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Finding the Fourth Proportional to 256,406,961.20, 384,610,441.80 and 74,660,068.40

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Solution

The fourth proportional to 256,406,961.20, 384,610,441.80 and 74,660,068.40 is: 111,990,102.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,406,961.20 : 384,610,441.80 = 74,660,068.40 : x
  2. Step 2: Convert to fraction form
    256,406,961.20/384,610,441.80 = 74,660,068.40/x
  3. Step 3: Cross multiply
    256,406,961.20x = 384,610,441.80 × 74,660,068.40
  4. Step 4: Simplify right side
    256,406,961.20x = 28,715,041,892,142,224
  5. Step 5: Solve for x
    x = 28,715,041,892,142,224/256,406,961.20
  6. Step 6: Final answer
    x = 111,990,102.60

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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.