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Finding the Fourth Proportional to 438,737.64, 657,970.38 and 158,218.44

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Solution

The fourth proportional to 438,737.64, 657,970.38 and 158,218.44 is: 237,278.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,737.64 : 657,970.38 = 158,218.44 : x
  2. Step 2: Convert to fraction form
    438,737.64/657,970.38 = 158,218.44/x
  3. Step 3: Cross multiply
    438,737.64x = 657,970.38 × 158,218.44
  4. Step 4: Simplify right side
    438,737.64x = 104,103,047,089.81
  5. Step 5: Solve for x
    x = 104,103,047,089.81/438,737.64
  6. Step 6: Final answer
    x = 237,278.59

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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.