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Finding the Fourth Proportional to 280,894.34, 387,637.98 and 153,569.64

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Solution

The fourth proportional to 280,894.34, 387,637.98 and 153,569.64 is: 211,928.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,894.34 : 387,637.98 = 153,569.64 : x
  2. Step 2: Convert to fraction form
    280,894.34/387,637.98 = 153,569.64/x
  3. Step 3: Cross multiply
    280,894.34x = 387,637.98 × 153,569.64
  4. Step 4: Simplify right side
    280,894.34x = 59,529,425,038.93
  5. Step 5: Solve for x
    x = 59,529,425,038.93/280,894.34
  6. Step 6: Final answer
    x = 211,928.18

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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.