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Finding the Fourth Proportional to 387,447.96, 534,641.50 and 215,345.50

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Solution

The fourth proportional to 387,447.96, 534,641.50 and 215,345.50 is: 297,156.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,447.96 : 534,641.50 = 215,345.50 : x
  2. Step 2: Convert to fraction form
    387,447.96/534,641.50 = 215,345.50/x
  3. Step 3: Cross multiply
    387,447.96x = 534,641.50 × 215,345.50
  4. Step 4: Simplify right side
    387,447.96x = 115,132,641,138.25
  5. Step 5: Solve for x
    x = 115,132,641,138.25/387,447.96
  6. Step 6: Final answer
    x = 297,156.40

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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.