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Finding the Fourth Proportional to 280,018.65, 419,952.64 and 102,526.59

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Solution

The fourth proportional to 280,018.65, 419,952.64 and 102,526.59 is: 153,762.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,018.65 : 419,952.64 = 102,526.59 : x
  2. Step 2: Convert to fraction form
    280,018.65/419,952.64 = 102,526.59/x
  3. Step 3: Cross multiply
    280,018.65x = 419,952.64 × 102,526.59
  4. Step 4: Simplify right side
    280,018.65x = 43,056,312,140.70
  5. Step 5: Solve for x
    x = 43,056,312,140.70/280,018.65
  6. Step 6: Final answer
    x = 153,762.30

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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.