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Finding the Fourth Proportional to 564,901.56, 779,602.32 and 310,255.38

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Solution

The fourth proportional to 564,901.56, 779,602.32 and 310,255.38 is: 428,173.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,901.56 : 779,602.32 = 310,255.38 : x
  2. Step 2: Convert to fraction form
    564,901.56/779,602.32 = 310,255.38/x
  3. Step 3: Cross multiply
    564,901.56x = 779,602.32 × 310,255.38
  4. Step 4: Simplify right side
    564,901.56x = 241,875,814,040.48
  5. Step 5: Solve for x
    x = 241,875,814,040.48/564,901.56
  6. Step 6: Final answer
    x = 428,173.39

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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.