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Finding the Fourth Proportional to 565,514.77, 780,411.23 and 310,867.51

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Solution

The fourth proportional to 565,514.77, 780,411.23 and 310,867.51 is: 428,997.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,514.77 : 780,411.23 = 310,867.51 : x
  2. Step 2: Convert to fraction form
    565,514.77/780,411.23 = 310,867.51/x
  3. Step 3: Cross multiply
    565,514.77x = 780,411.23 × 310,867.51
  4. Step 4: Simplify right side
    565,514.77x = 242,604,495,846.14
  5. Step 5: Solve for x
    x = 242,604,495,846.14/565,514.77
  6. Step 6: Final answer
    x = 428,997.63

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1.5x scale

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.