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Finding the Fourth Proportional to 286,621.46, 429,994.04 and 86,957.93

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Solution

The fourth proportional to 286,621.46, 429,994.04 and 86,957.93 is: 130,455.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,621.46 : 429,994.04 = 86,957.93 : x
  2. Step 2: Convert to fraction form
    286,621.46/429,994.04 = 86,957.93/x
  3. Step 3: Cross multiply
    286,621.46x = 429,994.04 × 86,957.93
  4. Step 4: Simplify right side
    286,621.46x = 37,391,391,795.28
  5. Step 5: Solve for x
    x = 37,391,391,795.28/286,621.46
  6. Step 6: Final answer
    x = 130,455.66

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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.