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Finding the Fourth Proportional to 527,035.60, 728,534.90 and 470,237.86

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Solution

The fourth proportional to 527,035.60, 728,534.90 and 470,237.86 is: 650,021.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,035.60 : 728,534.90 = 470,237.86 : x
  2. Step 2: Convert to fraction form
    527,035.60/728,534.90 = 470,237.86/x
  3. Step 3: Cross multiply
    527,035.60x = 728,534.90 × 470,237.86
  4. Step 4: Simplify right side
    527,035.60x = 342,584,692,311.31
  5. Step 5: Solve for x
    x = 342,584,692,311.31/527,035.60
  6. Step 6: Final answer
    x = 650,021.92

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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.