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Finding the Fourth Proportional to 610,870.10, 916,742.55 and 256,138.70

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Solution

The fourth proportional to 610,870.10, 916,742.55 and 256,138.70 is: 384,391.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,870.10 : 916,742.55 = 256,138.70 : x
  2. Step 2: Convert to fraction form
    610,870.10/916,742.55 = 256,138.70/x
  3. Step 3: Cross multiply
    610,870.10x = 916,742.55 × 256,138.70
  4. Step 4: Simplify right side
    610,870.10x = 234,813,244,991.69
  5. Step 5: Solve for x
    x = 234,813,244,991.69/610,870.10
  6. Step 6: Final answer
    x = 384,391.45

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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.