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Finding the Fourth Proportional to 834,064, 1,251,326.40 and 243,088

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Solution

The fourth proportional to 834,064, 1,251,326.40 and 243,088 is: 364,699.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,064 : 1,251,326.40 = 243,088 : x
  2. Step 2: Convert to fraction form
    834,064/1,251,326.40 = 243,088/x
  3. Step 3: Cross multiply
    834,064x = 1,251,326.40 × 243,088
  4. Step 4: Simplify right side
    834,064x = 304,182,431,923.20
  5. Step 5: Solve for x
    x = 304,182,431,923.20/834,064
  6. Step 6: Final answer
    x = 364,699.15

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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.