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Finding the Fourth Proportional to 559,872,815.80, 839,809,223.70 and 523,593,110.20

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Solution

The fourth proportional to 559,872,815.80, 839,809,223.70 and 523,593,110.20 is: 785,389,665.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,872,815.80 : 839,809,223.70 = 523,593,110.20 : x
  2. Step 2: Convert to fraction form
    559,872,815.80/839,809,223.70 = 523,593,110.20/x
  3. Step 3: Cross multiply
    559,872,815.80x = 839,809,223.70 × 523,593,110.20
  4. Step 4: Simplify right side
    559,872,815.80x = 439,718,323,411,730,560
  5. Step 5: Solve for x
    x = 439,718,323,411,730,560/559,872,815.80
  6. Step 6: Final answer
    x = 785,389,665.30

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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.