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Finding the Fourth Proportional to 520,045.78, 780,165.51 and 164,964.10

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Solution

The fourth proportional to 520,045.78, 780,165.51 and 164,964.10 is: 247,476.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,045.78 : 780,165.51 = 164,964.10 : x
  2. Step 2: Convert to fraction form
    520,045.78/780,165.51 = 164,964.10/x
  3. Step 3: Cross multiply
    520,045.78x = 780,165.51 × 164,964.10
  4. Step 4: Simplify right side
    520,045.78x = 128,699,301,208.19
  5. Step 5: Solve for x
    x = 128,699,301,208.19/520,045.78
  6. Step 6: Final answer
    x = 247,476.87

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1.5x scale

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.