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Finding the Fourth Proportional to 520,064.10, 780,038.55 and 146,124.90

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Solution

The fourth proportional to 520,064.10, 780,038.55 and 146,124.90 is: 219,171.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,064.10 : 780,038.55 = 146,124.90 : x
  2. Step 2: Convert to fraction form
    520,064.10/780,038.55 = 146,124.90/x
  3. Step 3: Cross multiply
    520,064.10x = 780,038.55 × 146,124.90
  4. Step 4: Simplify right side
    520,064.10x = 113,983,055,114.90
  5. Step 5: Solve for x
    x = 113,983,055,114.90/520,064.10
  6. Step 6: Final answer
    x = 219,171.17

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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.