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Finding the Fourth Proportional to 286,574.20, 429,278.10 and 146,411.80

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Solution

The fourth proportional to 286,574.20, 429,278.10 and 146,411.80 is: 219,319.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,574.20 : 429,278.10 = 146,411.80 : x
  2. Step 2: Convert to fraction form
    286,574.20/429,278.10 = 146,411.80/x
  3. Step 3: Cross multiply
    286,574.20x = 429,278.10 × 146,411.80
  4. Step 4: Simplify right side
    286,574.20x = 62,851,379,321.58
  5. Step 5: Solve for x
    x = 62,851,379,321.58/286,574.20
  6. Step 6: Final answer
    x = 219,319.74

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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.