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Finding the Fourth Proportional to 557,007.10, 768,669.14 and 302,358.30

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Solution

The fourth proportional to 557,007.10, 768,669.14 and 302,358.30 is: 417,254.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,007.10 : 768,669.14 = 302,358.30 : x
  2. Step 2: Convert to fraction form
    557,007.10/768,669.14 = 302,358.30/x
  3. Step 3: Cross multiply
    557,007.10x = 768,669.14 × 302,358.30
  4. Step 4: Simplify right side
    557,007.10x = 232,413,494,432.86
  5. Step 5: Solve for x
    x = 232,413,494,432.86/557,007.10
  6. Step 6: Final answer
    x = 417,254.10

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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.