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Finding the Fourth Proportional to 288,730.62, 433,117.80 and 78,384.96

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Solution

The fourth proportional to 288,730.62, 433,117.80 and 78,384.96 is: 117,583.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,730.62 : 433,117.80 = 78,384.96 : x
  2. Step 2: Convert to fraction form
    288,730.62/433,117.80 = 78,384.96/x
  3. Step 3: Cross multiply
    288,730.62x = 433,117.80 × 78,384.96
  4. Step 4: Simplify right side
    288,730.62x = 33,949,921,428.29
  5. Step 5: Solve for x
    x = 33,949,921,428.29/288,730.62
  6. Step 6: Final answer
    x = 117,583.38

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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.