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Finding the Fourth Proportional to 280,238.78, 386,726.30 and 152,916.50

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Solution

The fourth proportional to 280,238.78, 386,726.30 and 152,916.50 is: 211,023.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,238.78 : 386,726.30 = 152,916.50 : x
  2. Step 2: Convert to fraction form
    280,238.78/386,726.30 = 152,916.50/x
  3. Step 3: Cross multiply
    280,238.78x = 386,726.30 × 152,916.50
  4. Step 4: Simplify right side
    280,238.78x = 59,136,832,253.95
  5. Step 5: Solve for x
    x = 59,136,832,253.95/280,238.78
  6. Step 6: Final answer
    x = 211,023.01

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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.