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Finding the Fourth Proportional to 565,060.32, 779,783.76 and 310,428

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Solution

The fourth proportional to 565,060.32, 779,783.76 and 310,428 is: 428,390.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,060.32 : 779,783.76 = 310,428 : x
  2. Step 2: Convert to fraction form
    565,060.32/779,783.76 = 310,428/x
  3. Step 3: Cross multiply
    565,060.32x = 779,783.76 × 310,428
  4. Step 4: Simplify right side
    565,060.32x = 242,066,713,049.28
  5. Step 5: Solve for x
    x = 242,066,713,049.28/565,060.32
  6. Step 6: Final answer
    x = 428,390.92

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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.