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Finding the Fourth Proportional to 286,678.50, 430,017.78 and 99,690

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Solution

The fourth proportional to 286,678.50, 430,017.78 and 99,690 is: 149,535.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,678.50 : 430,017.78 = 99,690 : x
  2. Step 2: Convert to fraction form
    286,678.50/430,017.78 = 99,690/x
  3. Step 3: Cross multiply
    286,678.50x = 430,017.78 × 99,690
  4. Step 4: Simplify right side
    286,678.50x = 42,868,472,488.20
  5. Step 5: Solve for x
    x = 42,868,472,488.20/286,678.50
  6. Step 6: Final answer
    x = 149,535.01

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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.