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Finding the Fourth Proportional to 280,492.95, 420,739.44 and 70,130.91

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Solution

The fourth proportional to 280,492.95, 420,739.44 and 70,130.91 is: 105,196.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,492.95 : 420,739.44 = 70,130.91 : x
  2. Step 2: Convert to fraction form
    280,492.95/420,739.44 = 70,130.91/x
  3. Step 3: Cross multiply
    280,492.95x = 420,739.44 × 70,130.91
  4. Step 4: Simplify right side
    280,492.95x = 29,506,839,800.09
  5. Step 5: Solve for x
    x = 29,506,839,800.09/280,492.95
  6. Step 6: Final answer
    x = 105,196.37

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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.