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Finding the Fourth Proportional to 565,369.88, 780,210.43 and 310,721.06

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Solution

The fourth proportional to 565,369.88, 780,210.43 and 310,721.06 is: 428,795.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,369.88 : 780,210.43 = 310,721.06 : x
  2. Step 2: Convert to fraction form
    565,369.88/780,210.43 = 310,721.06/x
  3. Step 3: Cross multiply
    565,369.88x = 780,210.43 × 310,721.06
  4. Step 4: Simplify right side
    565,369.88x = 242,427,813,006.38
  5. Step 5: Solve for x
    x = 242,427,813,006.38/565,369.88
  6. Step 6: Final answer
    x = 428,795.07

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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.