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Finding the Fourth Proportional to 286,742.64, 429,530.76 and 144,500.16

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Solution

The fourth proportional to 286,742.64, 429,530.76 and 144,500.16 is: 216,456.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,742.64 : 429,530.76 = 144,500.16 : x
  2. Step 2: Convert to fraction form
    286,742.64/429,530.76 = 144,500.16/x
  3. Step 3: Cross multiply
    286,742.64x = 429,530.76 × 144,500.16
  4. Step 4: Simplify right side
    286,742.64x = 62,067,263,544.92
  5. Step 5: Solve for x
    x = 62,067,263,544.92/286,742.64
  6. Step 6: Final answer
    x = 216,456.34

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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.