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Finding the Fourth Proportional to 613,494.79, 920,254.94 and 164,215.13

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Solution

The fourth proportional to 613,494.79, 920,254.94 and 164,215.13 is: 246,326.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,494.79 : 920,254.94 = 164,215.13 : x
  2. Step 2: Convert to fraction form
    613,494.79/920,254.94 = 164,215.13/x
  3. Step 3: Cross multiply
    613,494.79x = 920,254.94 × 164,215.13
  4. Step 4: Simplify right side
    613,494.79x = 151,119,779,798.70
  5. Step 5: Solve for x
    x = 151,119,779,798.70/613,494.79
  6. Step 6: Final answer
    x = 246,326.10

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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.