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Finding the Fourth Proportional to 284,424.96, 426,870.64 and 144,223.68

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Solution

The fourth proportional to 284,424.96, 426,870.64 and 144,223.68 is: 216,453.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,424.96 : 426,870.64 = 144,223.68 : x
  2. Step 2: Convert to fraction form
    284,424.96/426,870.64 = 144,223.68/x
  3. Step 3: Cross multiply
    284,424.96x = 426,870.64 × 144,223.68
  4. Step 4: Simplify right side
    284,424.96x = 61,564,854,584.76
  5. Step 5: Solve for x
    x = 61,564,854,584.76/284,424.96
  6. Step 6: Final answer
    x = 216,453.77

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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.