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Finding the Fourth Proportional to 559,872,442.80, 839,808,664.20 and 284,373,428.40

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Solution

The fourth proportional to 559,872,442.80, 839,808,664.20 and 284,373,428.40 is: 426,560,142.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,872,442.80 : 839,808,664.20 = 284,373,428.40 : x
  2. Step 2: Convert to fraction form
    559,872,442.80/839,808,664.20 = 284,373,428.40/x
  3. Step 3: Cross multiply
    559,872,442.80x = 839,808,664.20 × 284,373,428.40
  4. Step 4: Simplify right side
    559,872,442.80x = 238,819,269,038,578,336
  5. Step 5: Solve for x
    x = 238,819,269,038,578,336/559,872,442.80
  6. Step 6: Final answer
    x = 426,560,142.60

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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.