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Finding the Fourth Proportional to 523,771,502.77, 785,790,704.89 and 155,319,914.53

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Solution

The fourth proportional to 523,771,502.77, 785,790,704.89 and 155,319,914.53 is: 233,019,445.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,771,502.77 : 785,790,704.89 = 155,319,914.53 : x
  2. Step 2: Convert to fraction form
    523,771,502.77/785,790,704.89 = 155,319,914.53/x
  3. Step 3: Cross multiply
    523,771,502.77x = 785,790,704.89 × 155,319,914.53
  4. Step 4: Simplify right side
    523,771,502.77x = 122,048,945,118,735,648
  5. Step 5: Solve for x
    x = 122,048,945,118,735,648/523,771,502.77
  6. Step 6: Final answer
    x = 233,019,445.45

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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.