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Finding the Fourth Proportional to 280,521.51, 387,121.10 and 153,197.10

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Solution

The fourth proportional to 280,521.51, 387,121.10 and 153,197.10 is: 211,412.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,521.51 : 387,121.10 = 153,197.10 : x
  2. Step 2: Convert to fraction form
    280,521.51/387,121.10 = 153,197.10/x
  3. Step 3: Cross multiply
    280,521.51x = 387,121.10 × 153,197.10
  4. Step 4: Simplify right side
    280,521.51x = 59,305,829,868.81
  5. Step 5: Solve for x
    x = 59,305,829,868.81/280,521.51
  6. Step 6: Final answer
    x = 211,412.77

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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.