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Finding the Fourth Proportional to 565,842.51, 780,879.02 and 311,210.10

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Solution

The fourth proportional to 565,842.51, 780,879.02 and 311,210.10 is: 429,478.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,842.51 : 780,879.02 = 311,210.10 : x
  2. Step 2: Convert to fraction form
    565,842.51/780,879.02 = 311,210.10/x
  3. Step 3: Cross multiply
    565,842.51x = 780,879.02 × 311,210.10
  4. Step 4: Simplify right side
    565,842.51x = 243,017,436,346.05
  5. Step 5: Solve for x
    x = 243,017,436,346.05/565,842.51
  6. Step 6: Final answer
    x = 429,478.93

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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.