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Finding the Fourth Proportional to 871,412,129.60, 1,305,774,501.60 and 755,854,548.80

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Solution

The fourth proportional to 871,412,129.60, 1,305,774,501.60 and 755,854,548.80 is: 1,132,616,316.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,412,129.60 : 1,305,774,501.60 = 755,854,548.80 : x
  2. Step 2: Convert to fraction form
    871,412,129.60/1,305,774,501.60 = 755,854,548.80/x
  3. Step 3: Cross multiply
    871,412,129.60x = 1,305,774,501.60 × 755,854,548.80
  4. Step 4: Simplify right side
    871,412,129.60x = 986,975,596,741,412,736
  5. Step 5: Solve for x
    x = 986,975,596,741,412,736/871,412,129.60
  6. Step 6: Final answer
    x = 1,132,616,316.91

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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.