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Finding the Fourth Proportional to 302,548, 454,029.36 and 105,556

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Solution

The fourth proportional to 302,548, 454,029.36 and 105,556 is: 158,406.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,548 : 454,029.36 = 105,556 : x
  2. Step 2: Convert to fraction form
    302,548/454,029.36 = 105,556/x
  3. Step 3: Cross multiply
    302,548x = 454,029.36 × 105,556
  4. Step 4: Simplify right side
    302,548x = 47,925,523,124.16
  5. Step 5: Solve for x
    x = 47,925,523,124.16/302,548
  6. Step 6: Final answer
    x = 158,406.35

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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.