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Finding the Fourth Proportional to 559,872,543.80, 839,808,815.70 and 512,255,430.20

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Solution

The fourth proportional to 559,872,543.80, 839,808,815.70 and 512,255,430.20 is: 768,383,145.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,872,543.80 : 839,808,815.70 = 512,255,430.20 : x
  2. Step 2: Convert to fraction form
    559,872,543.80/839,808,815.70 = 512,255,430.20/x
  3. Step 3: Cross multiply
    559,872,543.80x = 839,808,815.70 × 512,255,430.20
  4. Step 4: Simplify right side
    559,872,543.80x = 430,196,626,172,156,032
  5. Step 5: Solve for x
    x = 430,196,626,172,156,032/559,872,543.80
  6. Step 6: Final answer
    x = 768,383,145.30

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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.