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Finding the Fourth Proportional to 283,746.32, 391,567.28 and 154,684.80

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Solution

The fourth proportional to 283,746.32, 391,567.28 and 154,684.80 is: 213,463.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,746.32 : 391,567.28 = 154,684.80 : x
  2. Step 2: Convert to fraction form
    283,746.32/391,567.28 = 154,684.80/x
  3. Step 3: Cross multiply
    283,746.32x = 391,567.28 × 154,684.80
  4. Step 4: Simplify right side
    283,746.32x = 60,569,506,393.34
  5. Step 5: Solve for x
    x = 60,569,506,393.34/283,746.32
  6. Step 6: Final answer
    x = 213,463.58

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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.