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Finding the Fourth Proportional to 309,764, 427,526.16 and 175,705.76

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Solution

The fourth proportional to 309,764, 427,526.16 and 175,705.76 is: 242,503.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,764 : 427,526.16 = 175,705.76 : x
  2. Step 2: Convert to fraction form
    309,764/427,526.16 = 175,705.76/x
  3. Step 3: Cross multiply
    309,764x = 427,526.16 × 175,705.76
  4. Step 4: Simplify right side
    309,764x = 75,118,808,862.68
  5. Step 5: Solve for x
    x = 75,118,808,862.68/309,764
  6. Step 6: Final answer
    x = 242,503.35

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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.