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Finding the Fourth Proportional to 357,102.78, 535,280.40 and 120,363.63

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Solution

The fourth proportional to 357,102.78, 535,280.40 and 120,363.63 is: 180,419.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,102.78 : 535,280.40 = 120,363.63 : x
  2. Step 2: Convert to fraction form
    357,102.78/535,280.40 = 120,363.63/x
  3. Step 3: Cross multiply
    357,102.78x = 535,280.40 × 120,363.63
  4. Step 4: Simplify right side
    357,102.78x = 64,428,292,011.85
  5. Step 5: Solve for x
    x = 64,428,292,011.85/357,102.78
  6. Step 6: Final answer
    x = 180,419.46

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1.5x scale

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.