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Finding the Fourth Proportional to 565,683.80, 780,643.50 and 311,051.48

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Solution

The fourth proportional to 565,683.80, 780,643.50 and 311,051.48 is: 429,250.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,683.80 : 780,643.50 = 311,051.48 : x
  2. Step 2: Convert to fraction form
    565,683.80/780,643.50 = 311,051.48/x
  3. Step 3: Cross multiply
    565,683.80x = 780,643.50 × 311,051.48
  4. Step 4: Simplify right side
    565,683.80x = 242,820,316,027.38
  5. Step 5: Solve for x
    x = 242,820,316,027.38/565,683.80
  6. Step 6: Final answer
    x = 429,250.96

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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.