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Finding the Fourth Proportional to 557,007.68, 768,671.52 and 302,359.16

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Solution

The fourth proportional to 557,007.68, 768,671.52 and 302,359.16 is: 417,256.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,007.68 : 768,671.52 = 302,359.16 : x
  2. Step 2: Convert to fraction form
    557,007.68/768,671.52 = 302,359.16/x
  3. Step 3: Cross multiply
    557,007.68x = 768,671.52 × 302,359.16
  4. Step 4: Simplify right side
    557,007.68x = 232,414,875,103.12
  5. Step 5: Solve for x
    x = 232,414,875,103.12/557,007.68
  6. Step 6: Final answer
    x = 417,256.14

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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.