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Finding the Fourth Proportional to 387,783, 581,670.15 and 151,291.77

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Solution

The fourth proportional to 387,783, 581,670.15 and 151,291.77 is: 226,935.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,783 : 581,670.15 = 151,291.77 : x
  2. Step 2: Convert to fraction form
    387,783/581,670.15 = 151,291.77/x
  3. Step 3: Cross multiply
    387,783x = 581,670.15 × 151,291.77
  4. Step 4: Simplify right side
    387,783x = 88,001,906,549.67
  5. Step 5: Solve for x
    x = 88,001,906,549.67/387,783
  6. Step 6: Final answer
    x = 226,935.96

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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.