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Finding the Fourth Proportional to 569,402, 785,769 and 314,740.88

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Solution

The fourth proportional to 569,402, 785,769 and 314,740.88 is: 434,339.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,402 : 785,769 = 314,740.88 : x
  2. Step 2: Convert to fraction form
    569,402/785,769 = 314,740.88/x
  3. Step 3: Cross multiply
    569,402x = 785,769 × 314,740.88
  4. Step 4: Simplify right side
    569,402x = 247,313,626,536.72
  5. Step 5: Solve for x
    x = 247,313,626,536.72/569,402
  6. Step 6: Final answer
    x = 434,339.23

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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.