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Finding the Fourth Proportional to 527,033.60, 728,532.14 and 470,235.86

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Solution

The fourth proportional to 527,033.60, 728,532.14 and 470,235.86 is: 650,019.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,033.60 : 728,532.14 = 470,235.86 : x
  2. Step 2: Convert to fraction form
    527,033.60/728,532.14 = 470,235.86/x
  3. Step 3: Cross multiply
    527,033.60x = 728,532.14 × 470,235.86
  4. Step 4: Simplify right side
    527,033.60x = 342,581,931,396.70
  5. Step 5: Solve for x
    x = 342,581,931,396.70/527,033.60
  6. Step 6: Final answer
    x = 650,019.15

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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.