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Finding the Fourth Proportional to 556,814.34, 768,404.27 and 302,165.52

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Solution

The fourth proportional to 556,814.34, 768,404.27 and 302,165.52 is: 416,988.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,814.34 : 768,404.27 = 302,165.52 : x
  2. Step 2: Convert to fraction form
    556,814.34/768,404.27 = 302,165.52/x
  3. Step 3: Cross multiply
    556,814.34x = 768,404.27 × 302,165.52
  4. Step 4: Simplify right side
    556,814.34x = 232,185,279,057.76
  5. Step 5: Solve for x
    x = 232,185,279,057.76/556,814.34
  6. Step 6: Final answer
    x = 416,988.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.