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Finding the Fourth Proportional to 302,547, 454,027.86 and 105,555

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Solution

The fourth proportional to 302,547, 454,027.86 and 105,555 is: 158,404.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,547 : 454,027.86 = 105,555 : x
  2. Step 2: Convert to fraction form
    302,547/454,027.86 = 105,555/x
  3. Step 3: Cross multiply
    302,547x = 454,027.86 × 105,555
  4. Step 4: Simplify right side
    302,547x = 47,924,910,762.30
  5. Step 5: Solve for x
    x = 47,924,910,762.30/302,547
  6. Step 6: Final answer
    x = 158,404.85

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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.