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Finding the Fourth Proportional to 423,142.08, 583,782.81 and 278,026.02

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Solution

The fourth proportional to 423,142.08, 583,782.81 and 278,026.02 is: 383,575.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,142.08 : 583,782.81 = 278,026.02 : x
  2. Step 2: Convert to fraction form
    423,142.08/583,782.81 = 278,026.02/x
  3. Step 3: Cross multiply
    423,142.08x = 583,782.81 × 278,026.02
  4. Step 4: Simplify right side
    423,142.08x = 162,306,811,208.72
  5. Step 5: Solve for x
    x = 162,306,811,208.72/423,142.08
  6. Step 6: Final answer
    x = 383,575.21

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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.