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Finding the Fourth Proportional to 648,058.10, 893,656.52 and 430,189.92

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Solution

The fourth proportional to 648,058.10, 893,656.52 and 430,189.92 is: 593,221.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,058.10 : 893,656.52 = 430,189.92 : x
  2. Step 2: Convert to fraction form
    648,058.10/893,656.52 = 430,189.92/x
  3. Step 3: Cross multiply
    648,058.10x = 893,656.52 × 430,189.92
  4. Step 4: Simplify right side
    648,058.10x = 384,442,026,846.28
  5. Step 5: Solve for x
    x = 384,442,026,846.28/648,058.10
  6. Step 6: Final answer
    x = 593,221.54

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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.