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Finding the Fourth Proportional to 521,430.70, 782,160.63 and 184,423.72

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Solution

The fourth proportional to 521,430.70, 782,160.63 and 184,423.72 is: 276,640.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,430.70 : 782,160.63 = 184,423.72 : x
  2. Step 2: Convert to fraction form
    521,430.70/782,160.63 = 184,423.72/x
  3. Step 3: Cross multiply
    521,430.70x = 782,160.63 × 184,423.72
  4. Step 4: Simplify right side
    521,430.70x = 144,248,973,022.14
  5. Step 5: Solve for x
    x = 144,248,973,022.14/521,430.70
  6. Step 6: Final answer
    x = 276,640.74

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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.