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Finding the Fourth Proportional to 289,715.20, 434,572.80 and 280,038.40

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Solution

The fourth proportional to 289,715.20, 434,572.80 and 280,038.40 is: 420,057.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,715.20 : 434,572.80 = 280,038.40 : x
  2. Step 2: Convert to fraction form
    289,715.20/434,572.80 = 280,038.40/x
  3. Step 3: Cross multiply
    289,715.20x = 434,572.80 × 280,038.40
  4. Step 4: Simplify right side
    289,715.20x = 121,697,071,595.52
  5. Step 5: Solve for x
    x = 121,697,071,595.52/289,715.20
  6. Step 6: Final answer
    x = 420,057.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.