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Finding the Fourth Proportional to 556,247.28, 767,649.40 and 311,259.54

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Solution

The fourth proportional to 556,247.28, 767,649.40 and 311,259.54 is: 429,553.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,247.28 : 767,649.40 = 311,259.54 : x
  2. Step 2: Convert to fraction form
    556,247.28/767,649.40 = 311,259.54/x
  3. Step 3: Cross multiply
    556,247.28x = 767,649.40 × 311,259.54
  4. Step 4: Simplify right side
    556,247.28x = 238,938,199,125.28
  5. Step 5: Solve for x
    x = 238,938,199,125.28/556,247.28
  6. Step 6: Final answer
    x = 429,553.92

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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.