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Finding the Fourth Proportional to 291,914, 402,841.80 and 157,778

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Solution

The fourth proportional to 291,914, 402,841.80 and 157,778 is: 217,733.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,914 : 402,841.80 = 157,778 : x
  2. Step 2: Convert to fraction form
    291,914/402,841.80 = 157,778/x
  3. Step 3: Cross multiply
    291,914x = 402,841.80 × 157,778
  4. Step 4: Simplify right side
    291,914x = 63,559,573,520.40
  5. Step 5: Solve for x
    x = 63,559,573,520.40/291,914
  6. Step 6: Final answer
    x = 217,733.90

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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.