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Finding the Fourth Proportional to 565,055.08, 779,784.40 and 306,937.06

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Solution

The fourth proportional to 565,055.08, 779,784.40 and 306,937.06 is: 423,577.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,055.08 : 779,784.40 = 306,937.06 : x
  2. Step 2: Convert to fraction form
    565,055.08/779,784.40 = 306,937.06/x
  3. Step 3: Cross multiply
    565,055.08x = 779,784.40 × 306,937.06
  4. Step 4: Simplify right side
    565,055.08x = 239,344,731,169.86
  5. Step 5: Solve for x
    x = 239,344,731,169.86/565,055.08
  6. Step 6: Final answer
    x = 423,577.70

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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.