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Finding the Fourth Proportional to 260,509.36, 359,501.52 and 145,788.16

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Solution

The fourth proportional to 260,509.36, 359,501.52 and 145,788.16 is: 201,186.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,509.36 : 359,501.52 = 145,788.16 : x
  2. Step 2: Convert to fraction form
    260,509.36/359,501.52 = 145,788.16/x
  3. Step 3: Cross multiply
    260,509.36x = 359,501.52 × 145,788.16
  4. Step 4: Simplify right side
    260,509.36x = 52,411,065,118.00
  5. Step 5: Solve for x
    x = 52,411,065,118.00/260,509.36
  6. Step 6: Final answer
    x = 201,186.88

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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.