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Finding the Fourth Proportional to 257,784.04, 355,740.42 and 150,345.64

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Solution

The fourth proportional to 257,784.04, 355,740.42 and 150,345.64 is: 207,476.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,784.04 : 355,740.42 = 150,345.64 : x
  2. Step 2: Convert to fraction form
    257,784.04/355,740.42 = 150,345.64/x
  3. Step 3: Cross multiply
    257,784.04x = 355,740.42 × 150,345.64
  4. Step 4: Simplify right side
    257,784.04x = 53,484,021,118.77
  5. Step 5: Solve for x
    x = 53,484,021,118.77/257,784.04
  6. Step 6: Final answer
    x = 207,476.08

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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.