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Finding the Fourth Proportional to 556,813.16, 768,404.22 and 302,164.28

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Solution

The fourth proportional to 556,813.16, 768,404.22 and 302,164.28 is: 416,987.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,813.16 : 768,404.22 = 302,164.28 : x
  2. Step 2: Convert to fraction form
    556,813.16/768,404.22 = 302,164.28/x
  3. Step 3: Cross multiply
    556,813.16x = 768,404.22 × 302,164.28
  4. Step 4: Simplify right side
    556,813.16x = 232,184,307,885.26
  5. Step 5: Solve for x
    x = 232,184,307,885.26/556,813.16
  6. Step 6: Final answer
    x = 416,987.82

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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.