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Finding the Fourth Proportional to 578,100, 797,778 and 323,500.40

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Solution

The fourth proportional to 578,100, 797,778 and 323,500.40 is: 446,430.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,100 : 797,778 = 323,500.40 : x
  2. Step 2: Convert to fraction form
    578,100/797,778 = 323,500.40/x
  3. Step 3: Cross multiply
    578,100x = 797,778 × 323,500.40
  4. Step 4: Simplify right side
    578,100x = 258,081,502,111.20
  5. Step 5: Solve for x
    x = 258,081,502,111.20/578,100
  6. Step 6: Final answer
    x = 446,430.55

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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.