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Finding the Fourth Proportional to 280,872, 387,603.30 and 153,547.56

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Solution

The fourth proportional to 280,872, 387,603.30 and 153,547.56 is: 211,895.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,872 : 387,603.30 = 153,547.56 : x
  2. Step 2: Convert to fraction form
    280,872/387,603.30 = 153,547.56/x
  3. Step 3: Cross multiply
    280,872x = 387,603.30 × 153,547.56
  4. Step 4: Simplify right side
    280,872x = 59,515,540,962.95
  5. Step 5: Solve for x
    x = 59,515,540,962.95/280,872
  6. Step 6: Final answer
    x = 211,895.60

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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.