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Finding the Fourth Proportional to 442,526.10, 610,098.05 and 289,300.86

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Solution

The fourth proportional to 442,526.10, 610,098.05 and 289,300.86 is: 398,850.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,526.10 : 610,098.05 = 289,300.86 : x
  2. Step 2: Convert to fraction form
    442,526.10/610,098.05 = 289,300.86/x
  3. Step 3: Cross multiply
    442,526.10x = 610,098.05 × 289,300.86
  4. Step 4: Simplify right side
    442,526.10x = 176,501,889,102.82
  5. Step 5: Solve for x
    x = 176,501,889,102.82/442,526.10
  6. Step 6: Final answer
    x = 398,850.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.