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Finding the Fourth Proportional to 771,715.56, 1,157,653.50 and 210,750

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Solution

The fourth proportional to 771,715.56, 1,157,653.50 and 210,750 is: 316,146.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,715.56 : 1,157,653.50 = 210,750 : x
  2. Step 2: Convert to fraction form
    771,715.56/1,157,653.50 = 210,750/x
  3. Step 3: Cross multiply
    771,715.56x = 1,157,653.50 × 210,750
  4. Step 4: Simplify right side
    771,715.56x = 243,975,475,125
  5. Step 5: Solve for x
    x = 243,975,475,125/771,715.56
  6. Step 6: Final answer
    x = 316,146.89

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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.