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Finding the Fourth Proportional to 565,465.86, 780,343.47 and 310,811.58

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Solution

The fourth proportional to 565,465.86, 780,343.47 and 310,811.58 is: 428,920.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,465.86 : 780,343.47 = 310,811.58 : x
  2. Step 2: Convert to fraction form
    565,465.86/780,343.47 = 310,811.58/x
  3. Step 3: Cross multiply
    565,465.86x = 780,343.47 × 310,811.58
  4. Step 4: Simplify right side
    565,465.86x = 242,539,786,853.38
  5. Step 5: Solve for x
    x = 242,539,786,853.38/565,465.86
  6. Step 6: Final answer
    x = 428,920.30

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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.