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Finding the Fourth Proportional to 280,465, 420,697.50 and 83,473

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Solution

The fourth proportional to 280,465, 420,697.50 and 83,473 is: 125,209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,465 : 420,697.50 = 83,473 : x
  2. Step 2: Convert to fraction form
    280,465/420,697.50 = 83,473/x
  3. Step 3: Cross multiply
    280,465x = 420,697.50 × 83,473
  4. Step 4: Simplify right side
    280,465x = 35,116,882,417.50
  5. Step 5: Solve for x
    x = 35,116,882,417.50/280,465
  6. Step 6: Final answer
    x = 125,209.50

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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.