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Finding the Fourth Proportional to 576,312.80, 864,401.16 and 155,621.48

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Solution

The fourth proportional to 576,312.80, 864,401.16 and 155,621.48 is: 233,413.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,312.80 : 864,401.16 = 155,621.48 : x
  2. Step 2: Convert to fraction form
    576,312.80/864,401.16 = 155,621.48/x
  3. Step 3: Cross multiply
    576,312.80x = 864,401.16 × 155,621.48
  4. Step 4: Simplify right side
    576,312.80x = 134,519,387,832.92
  5. Step 5: Solve for x
    x = 134,519,387,832.92/576,312.80
  6. Step 6: Final answer
    x = 233,413.85

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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.