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Finding the Fourth Proportional to 578,101, 797,779.38 and 323,501.40

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Solution

The fourth proportional to 578,101, 797,779.38 and 323,501.40 is: 446,431.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,101 : 797,779.38 = 323,501.40 : x
  2. Step 2: Convert to fraction form
    578,101/797,779.38 = 323,501.40/x
  3. Step 3: Cross multiply
    578,101x = 797,779.38 × 323,501.40
  4. Step 4: Simplify right side
    578,101x = 258,082,746,321.13
  5. Step 5: Solve for x
    x = 258,082,746,321.13/578,101
  6. Step 6: Final answer
    x = 446,431.93

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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.