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Finding the Fourth Proportional to 288,155.40, 432,199.08 and 77,809.74

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Solution

The fourth proportional to 288,155.40, 432,199.08 and 77,809.74 is: 116,705.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,155.40 : 432,199.08 = 77,809.74 : x
  2. Step 2: Convert to fraction form
    288,155.40/432,199.08 = 77,809.74/x
  3. Step 3: Cross multiply
    288,155.40x = 432,199.08 × 77,809.74
  4. Step 4: Simplify right side
    288,155.40x = 33,629,298,043.04
  5. Step 5: Solve for x
    x = 33,629,298,043.04/288,155.40
  6. Step 6: Final answer
    x = 116,705.42

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1.5x scale

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.