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Finding the Fourth Proportional to 507,478.86, 760,979.90 and 294,307.36

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Solution

The fourth proportional to 507,478.86, 760,979.90 and 294,307.36 is: 441,322.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,478.86 : 760,979.90 = 294,307.36 : x
  2. Step 2: Convert to fraction form
    507,478.86/760,979.90 = 294,307.36/x
  3. Step 3: Cross multiply
    507,478.86x = 760,979.90 × 294,307.36
  4. Step 4: Simplify right side
    507,478.86x = 223,961,985,382.06
  5. Step 5: Solve for x
    x = 223,961,985,382.06/507,478.86
  6. Step 6: Final answer
    x = 441,322.79

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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.