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Finding the Fourth Proportional to 284,547.70, 426,821.55 and 142,830.10

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Solution

The fourth proportional to 284,547.70, 426,821.55 and 142,830.10 is: 214,245.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,547.70 : 426,821.55 = 142,830.10 : x
  2. Step 2: Convert to fraction form
    284,547.70/426,821.55 = 142,830.10/x
  3. Step 3: Cross multiply
    284,547.70x = 426,821.55 × 142,830.10
  4. Step 4: Simplify right side
    284,547.70x = 60,962,964,668.66
  5. Step 5: Solve for x
    x = 60,962,964,668.66/284,547.70
  6. Step 6: Final answer
    x = 214,245.15

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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.