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Finding the Fourth Proportional to 565,863.04, 780,878.10 and 311,218.48

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Solution

The fourth proportional to 565,863.04, 780,878.10 and 311,218.48 is: 429,474.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,863.04 : 780,878.10 = 311,218.48 : x
  2. Step 2: Convert to fraction form
    565,863.04/780,878.10 = 311,218.48/x
  3. Step 3: Cross multiply
    565,863.04x = 780,878.10 × 311,218.48
  4. Step 4: Simplify right side
    565,863.04x = 243,023,695,347.29
  5. Step 5: Solve for x
    x = 243,023,695,347.29/565,863.04
  6. Step 6: Final answer
    x = 429,474.41

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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.