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Finding the Fourth Proportional to 259,157.86, 357,626.80 and 144,430.40

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Solution

The fourth proportional to 259,157.86, 357,626.80 and 144,430.40 is: 199,307.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,157.86 : 357,626.80 = 144,430.40 : x
  2. Step 2: Convert to fraction form
    259,157.86/357,626.80 = 144,430.40/x
  3. Step 3: Cross multiply
    259,157.86x = 357,626.80 × 144,430.40
  4. Step 4: Simplify right side
    259,157.86x = 51,652,181,774.72
  5. Step 5: Solve for x
    x = 51,652,181,774.72/259,157.86
  6. Step 6: Final answer
    x = 199,307.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.