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Finding the Fourth Proportional to 284,048.76, 425,642.07 and 208,810.50

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Solution

The fourth proportional to 284,048.76, 425,642.07 and 208,810.50 is: 312,898.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,048.76 : 425,642.07 = 208,810.50 : x
  2. Step 2: Convert to fraction form
    284,048.76/425,642.07 = 208,810.50/x
  3. Step 3: Cross multiply
    284,048.76x = 425,642.07 × 208,810.50
  4. Step 4: Simplify right side
    284,048.76x = 88,878,533,457.74
  5. Step 5: Solve for x
    x = 88,878,533,457.74/284,048.76
  6. Step 6: Final answer
    x = 312,898.86

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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.