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Finding the Fourth Proportional to 570,106.33, 786,693.13 and 385,970.31

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Solution

The fourth proportional to 570,106.33, 786,693.13 and 385,970.31 is: 532,602.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,106.33 : 786,693.13 = 385,970.31 : x
  2. Step 2: Convert to fraction form
    570,106.33/786,693.13 = 385,970.31/x
  3. Step 3: Cross multiply
    570,106.33x = 786,693.13 × 385,970.31
  4. Step 4: Simplify right side
    570,106.33x = 303,640,191,260.97
  5. Step 5: Solve for x
    x = 303,640,191,260.97/570,106.33
  6. Step 6: Final answer
    x = 532,602.74

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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.