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Finding the Fourth Proportional to 286,315.80, 429,364.35 and 86,569.80

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Solution

The fourth proportional to 286,315.80, 429,364.35 and 86,569.80 is: 129,821.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,315.80 : 429,364.35 = 86,569.80 : x
  2. Step 2: Convert to fraction form
    286,315.80/429,364.35 = 86,569.80/x
  3. Step 3: Cross multiply
    286,315.80x = 429,364.35 × 86,569.80
  4. Step 4: Simplify right side
    286,315.80x = 37,169,985,906.63
  5. Step 5: Solve for x
    x = 37,169,985,906.63/286,315.80
  6. Step 6: Final answer
    x = 129,821.64

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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.