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Finding the Fourth Proportional to 286,931, 430,465.64 and 89,939

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Solution

The fourth proportional to 286,931, 430,465.64 and 89,939 is: 134,930.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,931 : 430,465.64 = 89,939 : x
  2. Step 2: Convert to fraction form
    286,931/430,465.64 = 89,939/x
  3. Step 3: Cross multiply
    286,931x = 430,465.64 × 89,939
  4. Step 4: Simplify right side
    286,931x = 38,715,649,195.96
  5. Step 5: Solve for x
    x = 38,715,649,195.96/286,931
  6. Step 6: Final answer
    x = 134,930.17

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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.