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Finding the Fourth Proportional to 286,461.12, 429,696 and 99,477.12

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Solution

The fourth proportional to 286,461.12, 429,696 and 99,477.12 is: 149,217.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,461.12 : 429,696 = 99,477.12 : x
  2. Step 2: Convert to fraction form
    286,461.12/429,696 = 99,477.12/x
  3. Step 3: Cross multiply
    286,461.12x = 429,696 × 99,477.12
  4. Step 4: Simplify right side
    286,461.12x = 42,744,920,555.52
  5. Step 5: Solve for x
    x = 42,744,920,555.52/286,461.12
  6. Step 6: Final answer
    x = 149,217.18

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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.