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Finding the Fourth Proportional to 527,101.20, 728,625.42 and 470,303.46

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Solution

The fourth proportional to 527,101.20, 728,625.42 and 470,303.46 is: 650,112.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,101.20 : 728,625.42 = 470,303.46 : x
  2. Step 2: Convert to fraction form
    527,101.20/728,625.42 = 470,303.46/x
  3. Step 3: Cross multiply
    527,101.20x = 728,625.42 × 470,303.46
  4. Step 4: Simplify right side
    527,101.20x = 342,675,056,069.95
  5. Step 5: Solve for x
    x = 342,675,056,069.95/527,101.20
  6. Step 6: Final answer
    x = 650,112.46

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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.