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Finding the Fourth Proportional to 565,967.76, 781,019.06 and 311,318.88

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Solution

The fourth proportional to 565,967.76, 781,019.06 and 311,318.88 is: 429,611.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,967.76 : 781,019.06 = 311,318.88 : x
  2. Step 2: Convert to fraction form
    565,967.76/781,019.06 = 311,318.88/x
  3. Step 3: Cross multiply
    565,967.76x = 781,019.06 × 311,318.88
  4. Step 4: Simplify right side
    565,967.76x = 243,145,977,461.26
  5. Step 5: Solve for x
    x = 243,145,977,461.26/565,967.76
  6. Step 6: Final answer
    x = 429,611.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.