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Finding the Fourth Proportional to 379,705.71, 569,559.13 and 155,066.16

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Solution

The fourth proportional to 379,705.71, 569,559.13 and 155,066.16 is: 232,599.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,705.71 : 569,559.13 = 155,066.16 : x
  2. Step 2: Convert to fraction form
    379,705.71/569,559.13 = 155,066.16/x
  3. Step 3: Cross multiply
    379,705.71x = 569,559.13 × 155,066.16
  4. Step 4: Simplify right side
    379,705.71x = 88,319,346,200.31
  5. Step 5: Solve for x
    x = 88,319,346,200.31/379,705.71
  6. Step 6: Final answer
    x = 232,599.47

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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.