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Finding the Fourth Proportional to 665,009.30, 997,643.55 and 285,929.30

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Solution

The fourth proportional to 665,009.30, 997,643.55 and 285,929.30 is: 428,949.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,009.30 : 997,643.55 = 285,929.30 : x
  2. Step 2: Convert to fraction form
    665,009.30/997,643.55 = 285,929.30/x
  3. Step 3: Cross multiply
    665,009.30x = 997,643.55 × 285,929.30
  4. Step 4: Simplify right side
    665,009.30x = 285,255,521,901.02
  5. Step 5: Solve for x
    x = 285,255,521,901.02/665,009.30
  6. Step 6: Final answer
    x = 428,949.67

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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.