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Finding the Fourth Proportional to 565,653.51, 780,602.94 and 311,004.77

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Solution

The fourth proportional to 565,653.51, 780,602.94 and 311,004.77 is: 429,187.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,653.51 : 780,602.94 = 311,004.77 : x
  2. Step 2: Convert to fraction form
    565,653.51/780,602.94 = 311,004.77/x
  3. Step 3: Cross multiply
    565,653.51x = 780,602.94 × 311,004.77
  4. Step 4: Simplify right side
    565,653.51x = 242,771,233,913.01
  5. Step 5: Solve for x
    x = 242,771,233,913.01/565,653.51
  6. Step 6: Final answer
    x = 429,187.18

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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.