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Finding the Fourth Proportional to 286,533, 429,631.68 and 109,053.12

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Solution

The fourth proportional to 286,533, 429,631.68 and 109,053.12 is: 163,515.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,533 : 429,631.68 = 109,053.12 : x
  2. Step 2: Convert to fraction form
    286,533/429,631.68 = 109,053.12/x
  3. Step 3: Cross multiply
    286,533x = 429,631.68 × 109,053.12
  4. Step 4: Simplify right side
    286,533x = 46,852,675,154.84
  5. Step 5: Solve for x
    x = 46,852,675,154.84/286,533
  6. Step 6: Final answer
    x = 163,515.81

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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.