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Finding the Fourth Proportional to 387,054.65, 534,117.24 and 214,983.77

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Solution

The fourth proportional to 387,054.65, 534,117.24 and 214,983.77 is: 296,667.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,054.65 : 534,117.24 = 214,983.77 : x
  2. Step 2: Convert to fraction form
    387,054.65/534,117.24 = 214,983.77/x
  3. Step 3: Cross multiply
    387,054.65x = 534,117.24 × 214,983.77
  4. Step 4: Simplify right side
    387,054.65x = 114,826,535,206.61
  5. Step 5: Solve for x
    x = 114,826,535,206.61/387,054.65
  6. Step 6: Final answer
    x = 296,667.50

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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.