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Finding the Fourth Proportional to 565,004.95, 779,712.57 and 306,884.40

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Solution

The fourth proportional to 565,004.95, 779,712.57 and 306,884.40 is: 423,503.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,004.95 : 779,712.57 = 306,884.40 : x
  2. Step 2: Convert to fraction form
    565,004.95/779,712.57 = 306,884.40/x
  3. Step 3: Cross multiply
    565,004.95x = 779,712.57 × 306,884.40
  4. Step 4: Simplify right side
    565,004.95x = 239,281,625,678.87
  5. Step 5: Solve for x
    x = 239,281,625,678.87/565,004.95
  6. Step 6: Final answer
    x = 423,503.59

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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.