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Finding the Fourth Proportional to 569,742.78, 786,231.63 and 315,088.50

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Solution

The fourth proportional to 569,742.78, 786,231.63 and 315,088.50 is: 434,814.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,742.78 : 786,231.63 = 315,088.50 : x
  2. Step 2: Convert to fraction form
    569,742.78/786,231.63 = 315,088.50/x
  3. Step 3: Cross multiply
    569,742.78x = 786,231.63 × 315,088.50
  4. Step 4: Simplify right side
    569,742.78x = 247,732,544,949.26
  5. Step 5: Solve for x
    x = 247,732,544,949.26/569,742.78
  6. Step 6: Final answer
    x = 434,814.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.