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Finding the Fourth Proportional to 569,485, 785,905.70 and 314,852.59

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Solution

The fourth proportional to 569,485, 785,905.70 and 314,852.59 is: 434,505.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,485 : 785,905.70 = 314,852.59 : x
  2. Step 2: Convert to fraction form
    569,485/785,905.70 = 314,852.59/x
  3. Step 3: Cross multiply
    569,485x = 785,905.70 × 314,852.59
  4. Step 4: Simplify right side
    569,485x = 247,444,445,140.76
  5. Step 5: Solve for x
    x = 247,444,445,140.76/569,485
  6. Step 6: Final answer
    x = 434,505.64

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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.