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Finding the Fourth Proportional to 509,064.08, 763,762.20 and 242,790.01

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Solution

The fourth proportional to 509,064.08, 763,762.20 and 242,790.01 is: 364,264.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,064.08 : 763,762.20 = 242,790.01 : x
  2. Step 2: Convert to fraction form
    509,064.08/763,762.20 = 242,790.01/x
  3. Step 3: Cross multiply
    509,064.08x = 763,762.20 × 242,790.01
  4. Step 4: Simplify right side
    509,064.08x = 185,433,829,355.75
  5. Step 5: Solve for x
    x = 185,433,829,355.75/509,064.08
  6. Step 6: Final answer
    x = 364,264.22

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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.