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Finding the Fourth Proportional to 280,686.84, 387,343.31 and 153,359.70

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Solution

The fourth proportional to 280,686.84, 387,343.31 and 153,359.70 is: 211,633.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,686.84 : 387,343.31 = 153,359.70 : x
  2. Step 2: Convert to fraction form
    280,686.84/387,343.31 = 153,359.70/x
  3. Step 3: Cross multiply
    280,686.84x = 387,343.31 × 153,359.70
  4. Step 4: Simplify right side
    280,686.84x = 59,402,853,818.61
  5. Step 5: Solve for x
    x = 59,402,853,818.61/280,686.84
  6. Step 6: Final answer
    x = 211,633.91

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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.