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Finding the Fourth Proportional to 280,138.67, 386,594.16 and 152,816.93

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Solution

The fourth proportional to 280,138.67, 386,594.16 and 152,816.93 is: 210,888.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,138.67 : 386,594.16 = 152,816.93 : x
  2. Step 2: Convert to fraction form
    280,138.67/386,594.16 = 152,816.93/x
  3. Step 3: Cross multiply
    280,138.67x = 386,594.16 × 152,816.93
  4. Step 4: Simplify right side
    280,138.67x = 59,078,132,687.13
  5. Step 5: Solve for x
    x = 59,078,132,687.13/280,138.67
  6. Step 6: Final answer
    x = 210,888.89

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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.