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Finding the Fourth Proportional to 438,297.66, 657,475.65 and 153,953.64

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Solution

The fourth proportional to 438,297.66, 657,475.65 and 153,953.64 is: 230,940.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,297.66 : 657,475.65 = 153,953.64 : x
  2. Step 2: Convert to fraction form
    438,297.66/657,475.65 = 153,953.64/x
  3. Step 3: Cross multiply
    438,297.66x = 657,475.65 × 153,953.64
  4. Step 4: Simplify right side
    438,297.66x = 101,220,769,528.87
  5. Step 5: Solve for x
    x = 101,220,769,528.87/438,297.66
  6. Step 6: Final answer
    x = 230,940.70

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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.