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Finding the Fourth Proportional to 314,928,002.70, 472,392,004.05 and 84,920,337.90

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Solution

The fourth proportional to 314,928,002.70, 472,392,004.05 and 84,920,337.90 is: 127,380,506.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,002.70 : 472,392,004.05 = 84,920,337.90 : x
  2. Step 2: Convert to fraction form
    314,928,002.70/472,392,004.05 = 84,920,337.90/x
  3. Step 3: Cross multiply
    314,928,002.70x = 472,392,004.05 × 84,920,337.90
  4. Step 4: Simplify right side
    314,928,002.70x = 40,115,688,605,184,176
  5. Step 5: Solve for x
    x = 40,115,688,605,184,176/314,928,002.70
  6. Step 6: Final answer
    x = 127,380,506.85

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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.