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Finding the Fourth Proportional to 565,601.27, 780,534.23 and 307,478.16

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Solution

The fourth proportional to 565,601.27, 780,534.23 and 307,478.16 is: 424,322.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,601.27 : 780,534.23 = 307,478.16 : x
  2. Step 2: Convert to fraction form
    565,601.27/780,534.23 = 307,478.16/x
  3. Step 3: Cross multiply
    565,601.27x = 780,534.23 × 307,478.16
  4. Step 4: Simplify right side
    565,601.27x = 239,997,227,320.03
  5. Step 5: Solve for x
    x = 239,997,227,320.03/565,601.27
  6. Step 6: Final answer
    x = 424,322.30

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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.