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Finding the Fourth Proportional to 527,624.76, 728,014.86 and 312,670.20

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Solution

The fourth proportional to 527,624.76, 728,014.86 and 312,670.20 is: 431,421.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,624.76 : 728,014.86 = 312,670.20 : x
  2. Step 2: Convert to fraction form
    527,624.76/728,014.86 = 312,670.20/x
  3. Step 3: Cross multiply
    527,624.76x = 728,014.86 × 312,670.20
  4. Step 4: Simplify right side
    527,624.76x = 227,628,551,879.17
  5. Step 5: Solve for x
    x = 227,628,551,879.17/527,624.76
  6. Step 6: Final answer
    x = 431,421.28

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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.