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Finding the Fourth Proportional to 565,047.30, 779,969.98 and 374,122.20

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Solution

The fourth proportional to 565,047.30, 779,969.98 and 374,122.20 is: 516,424.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,047.30 : 779,969.98 = 374,122.20 : x
  2. Step 2: Convert to fraction form
    565,047.30/779,969.98 = 374,122.20/x
  3. Step 3: Cross multiply
    565,047.30x = 779,969.98 × 374,122.20
  4. Step 4: Simplify right side
    565,047.30x = 291,804,082,980.95
  5. Step 5: Solve for x
    x = 291,804,082,980.95/565,047.30
  6. Step 6: Final answer
    x = 516,424.17

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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.