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Finding the Fourth Proportional to 491,298.55, 736,509.53 and 191,709.45

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Solution

The fourth proportional to 491,298.55, 736,509.53 and 191,709.45 is: 287,393.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,298.55 : 736,509.53 = 191,709.45 : x
  2. Step 2: Convert to fraction form
    491,298.55/736,509.53 = 191,709.45/x
  3. Step 3: Cross multiply
    491,298.55x = 736,509.53 × 191,709.45
  4. Step 4: Simplify right side
    491,298.55x = 141,195,837,395.33
  5. Step 5: Solve for x
    x = 141,195,837,395.33/491,298.55
  6. Step 6: Final answer
    x = 287,393.15

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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.