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Finding the Fourth Proportional to 613,779.18, 920,078.24 and 314,400.74

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Solution

The fourth proportional to 613,779.18, 920,078.24 and 314,400.74 is: 471,298.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,779.18 : 920,078.24 = 314,400.74 : x
  2. Step 2: Convert to fraction form
    613,779.18/920,078.24 = 314,400.74/x
  3. Step 3: Cross multiply
    613,779.18x = 920,078.24 × 314,400.74
  4. Step 4: Simplify right side
    613,779.18x = 289,273,279,513.90
  5. Step 5: Solve for x
    x = 289,273,279,513.90/613,779.18
  6. Step 6: Final answer
    x = 471,298.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.