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Finding the Fourth Proportional to 280,726.40, 387,385.92 and 153,376.64

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Solution

The fourth proportional to 280,726.40, 387,385.92 and 153,376.64 is: 211,650.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,726.40 : 387,385.92 = 153,376.64 : x
  2. Step 2: Convert to fraction form
    280,726.40/387,385.92 = 153,376.64/x
  3. Step 3: Cross multiply
    280,726.40x = 387,385.92 × 153,376.64
  4. Step 4: Simplify right side
    280,726.40x = 59,415,950,792.91
  5. Step 5: Solve for x
    x = 59,415,950,792.91/280,726.40
  6. Step 6: Final answer
    x = 211,650.74

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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.