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Finding the Fourth Proportional to 302,464,947.20, 453,697,420.80 and 149,184,435.20

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Solution

The fourth proportional to 302,464,947.20, 453,697,420.80 and 149,184,435.20 is: 223,776,652.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,464,947.20 : 453,697,420.80 = 149,184,435.20 : x
  2. Step 2: Convert to fraction form
    302,464,947.20/453,697,420.80 = 149,184,435.20/x
  3. Step 3: Cross multiply
    302,464,947.20x = 453,697,420.80 × 149,184,435.20
  4. Step 4: Simplify right side
    302,464,947.20x = 67,684,593,473,744,728
  5. Step 5: Solve for x
    x = 67,684,593,473,744,728/302,464,947.20
  6. Step 6: Final answer
    x = 223,776,652.80

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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.