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Finding the Fourth Proportional to 847,209, 1,169,410.86 and 545,403

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Solution

The fourth proportional to 847,209, 1,169,410.86 and 545,403 is: 752,825.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,209 : 1,169,410.86 = 545,403 : x
  2. Step 2: Convert to fraction form
    847,209/1,169,410.86 = 545,403/x
  3. Step 3: Cross multiply
    847,209x = 1,169,410.86 × 545,403
  4. Step 4: Simplify right side
    847,209x = 637,800,191,276.58
  5. Step 5: Solve for x
    x = 637,800,191,276.58/847,209
  6. Step 6: Final answer
    x = 752,825.09

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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.