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Finding the Fourth Proportional to 387,421.78, 534,705.52 and 322,788.50

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Solution

The fourth proportional to 387,421.78, 534,705.52 and 322,788.50 is: 445,501.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,421.78 : 534,705.52 = 322,788.50 : x
  2. Step 2: Convert to fraction form
    387,421.78/534,705.52 = 322,788.50/x
  3. Step 3: Cross multiply
    387,421.78x = 534,705.52 × 322,788.50
  4. Step 4: Simplify right side
    387,421.78x = 172,596,792,742.52
  5. Step 5: Solve for x
    x = 172,596,792,742.52/387,421.78
  6. Step 6: Final answer
    x = 445,501.01

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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.