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Finding the Fourth Proportional to 885,736,009.20, 1,328,604,013.80 and 656,153,497.20

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Solution

The fourth proportional to 885,736,009.20, 1,328,604,013.80 and 656,153,497.20 is: 984,230,245.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    885,736,009.20 : 1,328,604,013.80 = 656,153,497.20 : x
  2. Step 2: Convert to fraction form
    885,736,009.20/1,328,604,013.80 = 656,153,497.20/x
  3. Step 3: Cross multiply
    885,736,009.20x = 1,328,604,013.80 × 656,153,497.20
  4. Step 4: Simplify right side
    885,736,009.20x = 871,768,170,048,827,136
  5. Step 5: Solve for x
    x = 871,768,170,048,827,136/885,736,009.20
  6. Step 6: Final answer
    x = 984,230,245.80

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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.