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Finding the Fourth Proportional to 871,643.12, 1,306,715.76 and 302,950.32

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Solution

The fourth proportional to 871,643.12, 1,306,715.76 and 302,950.32 is: 454,165.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,643.12 : 1,306,715.76 = 302,950.32 : x
  2. Step 2: Convert to fraction form
    871,643.12/1,306,715.76 = 302,950.32/x
  3. Step 3: Cross multiply
    871,643.12x = 1,306,715.76 × 302,950.32
  4. Step 4: Simplify right side
    871,643.12x = 395,869,952,740.86
  5. Step 5: Solve for x
    x = 395,869,952,740.86/871,643.12
  6. Step 6: Final answer
    x = 454,165.18

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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.