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Finding the Fourth Proportional to 280,491.47, 420,737.19 and 70,129.40

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Solution

The fourth proportional to 280,491.47, 420,737.19 and 70,129.40 is: 105,194.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,491.47 : 420,737.19 = 70,129.40 : x
  2. Step 2: Convert to fraction form
    280,491.47/420,737.19 = 70,129.40/x
  3. Step 3: Cross multiply
    280,491.47x = 420,737.19 × 70,129.40
  4. Step 4: Simplify right side
    280,491.47x = 29,506,044,588.70
  5. Step 5: Solve for x
    x = 29,506,044,588.70/280,491.47
  6. Step 6: Final answer
    x = 105,194.09

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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.