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Finding the Fourth Proportional to 580,641.60, 871,064.32 and 265,130.40

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Solution

The fourth proportional to 580,641.60, 871,064.32 and 265,130.40 is: 397,742.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,641.60 : 871,064.32 = 265,130.40 : x
  2. Step 2: Convert to fraction form
    580,641.60/871,064.32 = 265,130.40/x
  3. Step 3: Cross multiply
    580,641.60x = 871,064.32 × 265,130.40
  4. Step 4: Simplify right side
    580,641.60x = 230,945,631,587.33
  5. Step 5: Solve for x
    x = 230,945,631,587.33/580,641.60
  6. Step 6: Final answer
    x = 397,742.14

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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.