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Finding the Fourth Proportional to 420,565.16, 630,844.50 and 105,019.96

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Solution

The fourth proportional to 420,565.16, 630,844.50 and 105,019.96 is: 157,529.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,565.16 : 630,844.50 = 105,019.96 : x
  2. Step 2: Convert to fraction form
    420,565.16/630,844.50 = 105,019.96/x
  3. Step 3: Cross multiply
    420,565.16x = 630,844.50 × 105,019.96
  4. Step 4: Simplify right side
    420,565.16x = 66,251,264,156.22
  5. Step 5: Solve for x
    x = 66,251,264,156.22/420,565.16
  6. Step 6: Final answer
    x = 157,529.13

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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.