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Finding the Fourth Proportional to 559,872,693.20, 839,809,039.80 and 421,920,232.40

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Solution

The fourth proportional to 559,872,693.20, 839,809,039.80 and 421,920,232.40 is: 632,880,348.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,872,693.20 : 839,809,039.80 = 421,920,232.40 : x
  2. Step 2: Convert to fraction form
    559,872,693.20/839,809,039.80 = 421,920,232.40/x
  3. Step 3: Cross multiply
    559,872,693.20x = 839,809,039.80 × 421,920,232.40
  4. Step 4: Simplify right side
    559,872,693.20x = 354,332,425,244,036,800
  5. Step 5: Solve for x
    x = 354,332,425,244,036,800/559,872,693.20
  6. Step 6: Final answer
    x = 632,880,348.60

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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.