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Finding the Fourth Proportional to 527,929.48, 728,533.74 and 298,483

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Solution

The fourth proportional to 527,929.48, 728,533.74 and 298,483 is: 411,901.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,929.48 : 728,533.74 = 298,483 : x
  2. Step 2: Convert to fraction form
    527,929.48/728,533.74 = 298,483/x
  3. Step 3: Cross multiply
    527,929.48x = 728,533.74 × 298,483
  4. Step 4: Simplify right side
    527,929.48x = 217,454,936,316.42
  5. Step 5: Solve for x
    x = 217,454,936,316.42/527,929.48
  6. Step 6: Final answer
    x = 411,901.48

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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.