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Finding the Fourth Proportional to 477,156.06, 716,681.28 and 285,399.90

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Solution

The fourth proportional to 477,156.06, 716,681.28 and 285,399.90 is: 428,666.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,156.06 : 716,681.28 = 285,399.90 : x
  2. Step 2: Convert to fraction form
    477,156.06/716,681.28 = 285,399.90/x
  3. Step 3: Cross multiply
    477,156.06x = 716,681.28 × 285,399.90
  4. Step 4: Simplify right side
    477,156.06x = 204,540,765,643.87
  5. Step 5: Solve for x
    x = 204,540,765,643.87/477,156.06
  6. Step 6: Final answer
    x = 428,666.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.