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Finding the Fourth Proportional to 426,686.60, 640,282.40 and 157,004.12

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Solution

The fourth proportional to 426,686.60, 640,282.40 and 157,004.12 is: 235,599.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,686.60 : 640,282.40 = 157,004.12 : x
  2. Step 2: Convert to fraction form
    426,686.60/640,282.40 = 157,004.12/x
  3. Step 3: Cross multiply
    426,686.60x = 640,282.40 × 157,004.12
  4. Step 4: Simplify right side
    426,686.60x = 100,526,971,562.08
  5. Step 5: Solve for x
    x = 100,526,971,562.08/426,686.60
  6. Step 6: Final answer
    x = 235,599.08

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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.