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Finding the Fourth Proportional to 527,734.74, 728,400.69 and 301,511.46

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Solution

The fourth proportional to 527,734.74, 728,400.69 and 301,511.46 is: 416,158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,734.74 : 728,400.69 = 301,511.46 : x
  2. Step 2: Convert to fraction form
    527,734.74/728,400.69 = 301,511.46/x
  3. Step 3: Cross multiply
    527,734.74x = 728,400.69 × 301,511.46
  4. Step 4: Simplify right side
    527,734.74x = 219,621,155,506.91
  5. Step 5: Solve for x
    x = 219,621,155,506.91/527,734.74
  6. Step 6: Final answer
    x = 416,158.23

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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.