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Finding the Fourth Proportional to 566,779.84, 782,142 and 321,810.31

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Solution

The fourth proportional to 566,779.84, 782,142 and 321,810.31 is: 444,090.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,779.84 : 782,142 = 321,810.31 : x
  2. Step 2: Convert to fraction form
    566,779.84/782,142 = 321,810.31/x
  3. Step 3: Cross multiply
    566,779.84x = 782,142 × 321,810.31
  4. Step 4: Simplify right side
    566,779.84x = 251,701,359,484.02
  5. Step 5: Solve for x
    x = 251,701,359,484.02/566,779.84
  6. Step 6: Final answer
    x = 444,090.18

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1.5x scale

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.