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Finding the Fourth Proportional to 556,813.83, 768,398.60 and 302,165.01

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Solution

The fourth proportional to 556,813.83, 768,398.60 and 302,165.01 is: 416,985.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,813.83 : 768,398.60 = 302,165.01 : x
  2. Step 2: Convert to fraction form
    556,813.83/768,398.60 = 302,165.01/x
  3. Step 3: Cross multiply
    556,813.83x = 768,398.60 × 302,165.01
  4. Step 4: Simplify right side
    556,813.83x = 232,183,169,142.16
  5. Step 5: Solve for x
    x = 232,183,169,142.16/556,813.83
  6. Step 6: Final answer
    x = 416,985.28

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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.