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Finding the Fourth Proportional to 286,303.40, 429,455.10 and 99,314.90

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Solution

The fourth proportional to 286,303.40, 429,455.10 and 99,314.90 is: 148,972.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,303.40 : 429,455.10 = 99,314.90 : x
  2. Step 2: Convert to fraction form
    286,303.40/429,455.10 = 99,314.90/x
  3. Step 3: Cross multiply
    286,303.40x = 429,455.10 × 99,314.90
  4. Step 4: Simplify right side
    286,303.40x = 42,651,290,310.99
  5. Step 5: Solve for x
    x = 42,651,290,310.99/286,303.40
  6. Step 6: Final answer
    x = 148,972.35

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Similar ratio
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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.