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Finding the Fourth Proportional to 387,417.78, 534,699.99 and 322,784.51

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Solution

The fourth proportional to 387,417.78, 534,699.99 and 322,784.51 is: 445,495.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,417.78 : 534,699.99 = 322,784.51 : x
  2. Step 2: Convert to fraction form
    387,417.78/534,699.99 = 322,784.51/x
  3. Step 3: Cross multiply
    387,417.78x = 534,699.99 × 322,784.51
  4. Step 4: Simplify right side
    387,417.78x = 172,592,871,595.66
  5. Step 5: Solve for x
    x = 172,592,871,595.66/387,417.78
  6. Step 6: Final answer
    x = 445,495.48

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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.