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Finding the Fourth Proportional to 395,411.18, 592,994.08 and 142,658.80

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Solution

The fourth proportional to 395,411.18, 592,994.08 and 142,658.80 is: 213,943.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,411.18 : 592,994.08 = 142,658.80 : x
  2. Step 2: Convert to fraction form
    395,411.18/592,994.08 = 142,658.80/x
  3. Step 3: Cross multiply
    395,411.18x = 592,994.08 × 142,658.80
  4. Step 4: Simplify right side
    395,411.18x = 84,595,820,181.64
  5. Step 5: Solve for x
    x = 84,595,820,181.64/395,411.18
  6. Step 6: Final answer
    x = 213,943.93

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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.