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Finding the Fourth Proportional to 461,683.51, 692,744.58 and 319,747.21

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Solution

The fourth proportional to 461,683.51, 692,744.58 and 319,747.21 is: 479,772.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,683.51 : 692,744.58 = 319,747.21 : x
  2. Step 2: Convert to fraction form
    461,683.51/692,744.58 = 319,747.21/x
  3. Step 3: Cross multiply
    461,683.51x = 692,744.58 × 319,747.21
  4. Step 4: Simplify right side
    461,683.51x = 221,503,144,965.76
  5. Step 5: Solve for x
    x = 221,503,144,965.76/461,683.51
  6. Step 6: Final answer
    x = 479,772.70

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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.