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Finding the Fourth Proportional to 565,385.06, 780,233.91 and 310,752.65

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Solution

The fourth proportional to 565,385.06, 780,233.91 and 310,752.65 is: 428,840.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,385.06 : 780,233.91 = 310,752.65 : x
  2. Step 2: Convert to fraction form
    565,385.06/780,233.91 = 310,752.65/x
  3. Step 3: Cross multiply
    565,385.06x = 780,233.91 × 310,752.65
  4. Step 4: Simplify right side
    565,385.06x = 242,459,755,152.36
  5. Step 5: Solve for x
    x = 242,459,755,152.36/565,385.06
  6. Step 6: Final answer
    x = 428,840.05

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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.