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Finding the Fourth Proportional to 280,102.16, 386,545.80 and 152,782.16

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Solution

The fourth proportional to 280,102.16, 386,545.80 and 152,782.16 is: 210,842.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,102.16 : 386,545.80 = 152,782.16 : x
  2. Step 2: Convert to fraction form
    280,102.16/386,545.80 = 152,782.16/x
  3. Step 3: Cross multiply
    280,102.16x = 386,545.80 × 152,782.16
  4. Step 4: Simplify right side
    280,102.16x = 59,057,302,262.93
  5. Step 5: Solve for x
    x = 59,057,302,262.93/280,102.16
  6. Step 6: Final answer
    x = 210,842.01

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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.